@article{aet, title={Intervals of s-torsion pairs in extriangulated categories with negative first extensions}, volume={174}, DOI={10.1017/S0305004122000354}, number={3}, journal={Mathematical Proceedings of the Cambridge Philosophical Society}, publisher={Cambridge University Press}, author={Adachi, Takahide and Enomoto, Haruhisa and Tsukamoto, Mayu}, year={2023}, pages={451–469}} @Article{reading_speyer_thomas, Author = {Reading, Nathan and Speyer, David E. and Thomas, Hugh}, Title = {The fundamental theorem of finite semidistributive lattices}, FJournal = {Selecta Mathematica. New Series}, Journal = {Sel. Math., New Ser.}, Volume = {27}, Number = {4}, Pages = {53}, Note = {Id/No 59}, Year = {2021}, Language = {English}, DOI = {10.1007/s00029-021-00656-z}, Keywords = {06B05,06A15,06B15,06D75}, zbMATH = {7383336}, Zbl = {1485.06003} } @article{hill2016nonexistence, AUTHOR = {Hill, M. A. and Hopkins, M. J. and Ravenel, D. C.}, TITLE = {On the nonexistence of elements of {K}ervaire invariant one}, JOURNAL = {Ann. of Math. (2)}, FJOURNAL = {Annals of Mathematics. Second Series}, VOLUME = {184}, YEAR = {2016}, NUMBER = {1}, PAGES = {1--262}, DOI = {10.4007/annals.2016.184.1.1}, URL = {https://doi.org/10.4007/annals.2016.184.1.1}, } @misc{franchere2021self, AUTHOR = {Franchere, Evan E. and Ormsby, Kyle and Osorno, Ang\'elica M. and Qin, Weihang and Waugh, Riley}, TITLE = {Self-duality of the lattice of transfer systems via weak factorization systems}, JOURNAL = {Homology Homotopy Appl.}, FJOURNAL = {Homology, Homotopy and Applications}, VOLUME = {24}, YEAR = {2022}, NUMBER = {2}, PAGES = {115--134}, DOI = {10.4310/hha.2022.v24.n2.a6}, URL = {https://doi.org/10.4310/hha.2022.v24.n2.a6}, } @article{quadrelli, title={Self-duality of the lattice of transfer systems via weak factorization systems}, author={Claudio Quadrelli}, journal={Homology, Homotopy and Applications}, year={2019}, url={https://api.semanticscholar.org/CorpusID:235165915} } @article{funayama, title={109. On the Distributivity of a Lattice of Lattice-congruences}, author={Funayama, Nenosuke and Nakayama, Tadasi}, journal={Proceedings of the Imperial Academy}, volume={18}, number={9}, pages={553--554}, year={1942}, publisher={The Japan Academy} } @article{balchin, AUTHOR = {Balchin, Scott and MacBrough, Ethan and Ormsby, Kyle}, TITLE = {Composition closed premodel structures and the {K}reweras lattice}, JOURNAL = {European J. Combin.}, FJOURNAL = {European Journal of Combinatorics}, VOLUME = {116}, YEAR = {2024}, PAGES = {Paper No. 103879, 22 pp.}, DOI = {10.1016/j.ejc.2023.103879}, URL = {https://doi.org/10.1016/j.ejc.2023.103879}, } @article{rubin, AUTHOR = {Rubin, Jonathan}, TITLE = {Detecting {S}teiner and linear isometries operads}, JOURNAL = {Glasg. Math. J.}, FJOURNAL = {Glasgow Mathematical Journal}, VOLUME = {63}, YEAR = {2021}, NUMBER = {2}, PAGES = {307--342}, DOI = {10.1017/S001708952000021X}, URL = {https://doi.org/10.1017/S001708952000021X}, } } @misc{antolin, title = {The nine model category structures on the category of sets}, author = {Omar Antol\'{i}n-Camarena and Toby Barthel}, howpublished = {https://www.matem.unam.mx/~omar/notes/modelcatsets.html} } @article {thomas_trim, AUTHOR = {Thomas, Hugh}, TITLE = {An analogue of distributivity for ungraded lattices}, JOURNAL = {Order}, FJOURNAL = {Order. A Journal on the Theory of Ordered Sets and its Applications}, VOLUME = {23}, YEAR = {2006}, NUMBER = {2}, PAGES = {249--269}, MRCLASS = {06C05 (05E15 06D05)}, MRNUMBER = {2308910}, DOI = {10.1007/s11083-006-9046-9}, URL = {https://doi.org/10.1007/s11083-006-9046-9}, } @article{FTSDL, title={The fundamental theorem of finite semidistributive lattices}, author={Reading, Nathan and Speyer, David E. and Thomas, Hugh}, journal={Selecta Mathematica}, volume={27}, pages={1--53}, year={2021}, publisher={Springer} } @article {TW, AUTHOR = {Thomas, Hugh and Williams, Nathan}, TITLE = {Rowmotion in slow motion}, JOURNAL = {Proc. Lond. Math. Soc.}, FJOURNAL = {Proceedings of the London Mathematical Society. Third Series}, VOLUME = {119}, YEAR = {2019}, NUMBER = {5}, PAGES = {1149--1178}, MRCLASS = {06D75 (05E15)}, MRNUMBER = {3968720}, MRREVIEWER = {Konrad\ P.\ Pi\'{o}ro}, DOI = {10.1112/plms.12251}, URL = {https://doi.org/10.1112/plms.12251}, } @article{tau_tilting, title={$\tau$-tilting theory}, author={Takahide Adachi and Osamu Iyama and Idun Reiten}, journal={Compositio Mathematica}, year={2013}, volume={150}, pages={415 - 452}, url={https://api.semanticscholar.org/CorpusID:119607456} } @book{freese, title={Free lattices}, author={Freese, Ralph S. and Je{\v{z}}ek, Jaroslav and Nation, James Bryant}, volume={42}, year={1995}, publisher={American Mathematical Soc.} } @article{jonsson1961, AUTHOR = {J\'onsson, Bjarni}, TITLE = {Sublattices of a free lattice}, JOURNAL = {Canadian J. Math.}, FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de Math\'ematiques}, VOLUME = {13}, YEAR = {1961}, PAGES = {256--264}, DOI = {10.4153/CJM-1961-021-0}, URL = {https://doi.org/10.4153/CJM-1961-021-0}, } @misc{fang2023tamari, AUTHOR = {Fang, Wenjie and Fusy, \'Eric and Nadeau, Philippe}, TITLE = {Tamari intervals and blossoming trees}, JOURNAL = {Comb. Theory}, FJOURNAL = {Combinatorial Theory}, VOLUME = {5}, YEAR = {2025}, NUMBER = {1}, PAGES = {Paper No. 4, 41 pp.}, } @article{hill2023counting, AUTHOR = {Hill, Michael A. and Meng, Jiayun and Li, Nan}, TITLE = {Counting compatible indexing systems for {$C_{p^n}$}}, JOURNAL = {Orbita Math.}, FJOURNAL = {Orbita Mathematicae}, VOLUME = {1}, YEAR = {2024}, NUMBER = {1}, PAGES = {37--58}, DOI = {10.2140/om.2024.1.37}, URL = {https://doi.org/10.2140/om.2024.1.37}, } @Article{zbMATH05660488, Author = {Chapoton, Fr{\'e}d{\'e}ric}, Title = {On the number of intervals in {Tamari} lattices}, FJournal = {S{\'e}minaire Lotharingien de Combinatoire}, Journal = {S{\'e}min. Lothar. Comb.}, Volume = {55}, Pages = {b55f, 18}, Year = {2005}, Language = {French}, Keywords = {05A15,05A19,05C05}, URL = {https://eudml.org/doc/230385}, zbMATH = {5660488}, Zbl = {1207.05011} } @misc{luo2024latticeweakfactorizationsystems, title={On the lattice of the weak factorization systems on a finite lattice}, author={Yongle Luo and Baptiste Rognerud}, year={2024}, eprint={2410.06182}, eprinttype={arXiv}, } @article{blumberg2024homotopical, AUTHOR = {Blumberg, Andrew J. and Hill, Michael A. and Ormsby, Kyle and Osorno, Ang\'elica M. and Roitzheim, Constanze}, TITLE = {Homotopical combinatorics}, JOURNAL = {Notices Amer. Math. Soc.}, FJOURNAL = {Notices of the American Mathematical Society}, VOLUME = {71}, YEAR = {2024}, NUMBER = {2}, PAGES = {260--266}, DOI = {10.1090/noti2882}, } @misc{balchin2022combinatorics, title={The combinatorics of ${N}_\infty$-operads for ${C}_{qp^{n}}$ and $ {D}_{p^n}$}, author={Balchin, Scott and MacBrough, Ethan and Ormsby, Kyle}, eprinttype = {arXiv}, eprint = {2209.06992}, year={2022} } @article{day, title={Characterizations of Finite Lattices that are Bounded-Homomqrphic Images or Sublattices of Free Lattices}, author={Day, Alan}, journal={Canadian Journal of Mathematics}, volume={31}, number={1}, pages={69--78}, year={1979}, publisher={Cambridge University Press} } @article{simson2010integral, title={Integral bilinear forms, Coxeter transformations and Coxeter polynomials of finite posets}, author={Simson, Daniel}, journal={Linear algebra and its applications}, volume={433}, number={4}, pages={699--717}, year={2010}, publisher={Elsevier} } @book{may, title={More concise algebraic topology: localization, completion, and model categories}, author={May, J. Peter and Ponto, Kate}, year={2011}, publisher={University of Chicago Press} } @article{dickson1966torsion, title={A torsion theory for abelian categories}, author={Dickson, Spencer E.}, journal={Transactions of the American Mathematical Society}, volume={121}, number={1}, pages={223--235}, year={1966}, publisher={JSTOR} } @article{BW, title={Permutation statistics and linear extensions of posets}, author={Bj{\"o}rner, Anders and Wachs, Michelle L}, journal={Journal of Combinatorial Theory, Series A}, volume={58}, number={1}, pages={85--114}, year={1991}, publisher={Elsevier} } @article{wood2007maximum, title={On the maximum number of cliques in a graph}, author={Wood, David R}, journal={Graphs and Combinatorics}, volume={23}, number={3}, pages={337--352}, year={2007}, publisher={Springer} } @article{bao2023transfer, AUTHOR = {Bao, Linus and Hazel, Christy and Karkos, Tia and Kessler, Alice and Nicolas, Austin and Ormsby, Kyle and Park, Jeremie and Schleff, Cait and Tilton, Scotty}, TITLE = {Transfer systems for rank two elementary abelian groups: characteristic functions and matchstick games}, JOURNAL = {Tunis. J. Math.}, FJOURNAL = {Tunisian Journal of Mathematics}, VOLUME = {7}, YEAR = {2025}, NUMBER = {1}, PAGES = {167--191}, DOI = {10.2140/tunis.2025.7.167}, URL = {https://doi.org/10.2140/tunis.2025.7.167}, } @article{barnard2020canonical, AUTHOR = {Barnard, Emily}, TITLE = {The canonical join complex of the {T}amari lattice}, JOURNAL = {J. Combin. Theory Ser. A}, FJOURNAL = {Journal of Combinatorial Theory. Series A}, VOLUME = {174}, YEAR = {2020}, PAGES = {105207, 30 pp.}, DOI = {10.1016/j.jcta.2019.105207}, URL = {https://doi.org/10.1016/j.jcta.2019.105207}, } @article{muhle2016trimness, title={Trimness of closed intervals in Cambrian semilattices}, author={M{\"u}hle, Henri}, journal={Comptes Rendus. Math{\'e}matique}, volume={354}, number={2}, pages={113--120}, year={2016} } @misc{balchin2020equivariant, title={Equivariant homotopy commutativity for ${G}= {C}_{pqr}$}, author={Balchin, Scott and Bearup, Daniel and Pech, Clelia and Roitzheim, Constanze}, eprinttype = {arXiv}, eprint = {2001.05815}, year={2020} } @article{adamek2002weak, title={Weak factorization systems and topological functors}, author={Ad{\'a}mek, Ji{\v{r}}{\'\i} and Herrlich, Horst and Rosick{\`y}, Ji{\v{r}}{\'\i} and Tholen, Walter}, journal={Applied Categorical Structures}, volume={10}, pages={237--249}, year={2002}, publisher={Springer} } @misc{park2023note, title={Note on the number of antichains in generalizations of the Boolean lattice}, author={Park, Jinyoung and Sarantis, Michail and Tetali, Prasad}, eprinttype = {arXiv}, eprint = {2305.16520}, year={2023} } @article{balchin2024composition, title={Composition closed premodel structures and the Kreweras lattice}, author={Balchin, Scott and MacBrough, Ethan and Ormsby, Kyle}, journal={European Journal of Combinatorics}, volume={116}, pages={103879}, year={2024}, publisher={Elsevier} } @phdthesis{barton, title={A model 2-category of enriched combinatorial premodel categories}, author={Barton, Reid William}, year={2019}, school={Harvard University} } @misc{luo2023boolean, title={Boolean lattices of torsion classes over finite-dimensional algebras}, author={Luo, Yongle and Wei, Jiaqun}, eprinttype = {arXiv}, eprint = {2303.15802}, year={2023} } @article{hivert2005algebra, title={The algebra of binary search trees}, author={Hivert, Florent and Novelli, Jean-Christophe and Thibon, Jean-Yves}, journal={Theoretical Computer Science}, volume={339}, number={1}, pages={129--165}, year={2005}, publisher={Elsevier} } @article{muhle2021noncrossing, title={Noncrossing arc diagrams, Tamari lattices, and parabolic quotients of the symmetric group}, author={M{\"u}hle, Henri}, journal={Annals of Combinatorics}, volume={25}, number={2}, pages={307--344}, year={2021}, publisher={Springer} } @article{markowsky1992primes, title={Primes, irreducibles and extremal lattices}, author={Markowsky, George}, journal={Order}, volume={9}, pages={265--290}, year={1992}, publisher={Springer} } @article{day1979characterizations, title={Characterizations of Finite Lattices that are Bounded-Homomqrphic Images or Sublattices of Free Lattices}, author={Day, Alan}, journal={Canadian Journal of Mathematics}, volume={31}, number={1}, pages={69--78}, year={1979}, publisher={Cambridge University Press} } @article{thomas2021introduction, title={An introduction to the lattice of torsion classes}, author={Thomas, Hugh}, journal={Bulletin of the Iranian Mathematical Society}, volume={47}, number={Suppl 1}, pages={35--55}, year={2021}, publisher={Springer} } @misc{barnard2022exceptional, title={Exceptional sequences in semidistributive lattices and the poset topology of wide subcategories}, author={Barnard, Emily and Hanson, Eric J.}, eprinttype = {arXiv}, eprint = {2209.11734}, year={2022} } @article{blumberg2015operadic, title={Operadic multiplications in equivariant spectra, norms, and transfers}, author={Blumberg, Andrew J. and Hill, Michael A.}, journal={Advances in Mathematics}, volume={285}, pages={658--708}, year={2015}, publisher={Elsevier} } @article{mizuno2014classifying, title={Classifying $\tau$-tilting modules over preprojective algebras of Dynkin type}, author={Mizuno, Yuya}, journal={Mathematische Zeitschrift}, volume={277}, number={3}, pages={665--690}, year={2014}, publisher={Springer} } @Article{barnard_canonical, Author = {Barnard, Emily}, Title = {The canonical join complex}, FJournal = {The Electronic Journal of Combinatorics}, Journal = {Electron. J. Combin.}, Volume = {26}, Number = {1}, Pages = {Paper No. 1.24, 25 pp.}, Year = {2019}, DOI = {10.37236/7866}, } @book{gratzerlattice, title={Lattice theory: special topics and applications}, author={Gratzer, George A and Wehrung, Friedrich}, year={2016}, publisher={Springer} } @article{birkhoff, author = {Garrett Birkhoff}, title = {{Rings of sets}}, volume = {3}, journal = {Duke Mathematical Journal}, number = {3}, publisher = {Duke University Press}, pages = {443 -- 454}, year = {1937}, doi = {10.1215/S0012-7094-37-00334-X}, URL = {https://doi.org/10.1215/S0012-7094-37-00334-X} } @article{jonsson_rival, title={Lattice varieties covering the smallest nonmodular variety}, author={J{\'o}nsson, Bjarni and Rival, Ivan}, journal={Pacific Journal of Mathematics}, volume={82}, number={2}, pages={463--478}, year={1979}, publisher={Mathematical Sciences Publishers} } @article{qh_structure, title={Combinatorics of quasi-hereditary structures}, author={Manuel Flores Galicia and Yuta Kimura and Baptiste Rognerud}, journal={J. Comb. Theory, Ser. A}, year={2020}, volume={187}, pages={105559}, url={https://api.semanticscholar.org/CorpusID:215548028} } @article{chapoton_coxeter, title={On the Coxeter Transformations for Tamari Posets}, author={Fr{\'e}d{\'e}ric Chapoton}, journal={Canadian Mathematical Bulletin}, year={2005}, volume={50}, pages={182 - 190}, url={https://api.semanticscholar.org/CorpusID:119664216} } @inbook{treffinger, place={Cambridge}, author = {Hipolito Treffinger}, series={London Mathematical Society Lecture Note Series}, title={$\tau$-tilting Theory – an Introduction}, booktitle={Modern Trends in Algebra and Representation Theory}, publisher={Cambridge University Press}, year={2023}, pages={46–108}, collection={London Mathematical Society Lecture Note Series}} @inproceedings{barnard_hanson, title={Exceptional sequences in semidistributive lattices and the poset topology of wide subcategories}, author={Emily Barnard and Eric J. Hanson}, year={2022}, url={https://api.semanticscholar.org/CorpusID:252519562} } @article{BH, title={Pairwise Compatibility for 2-Simple Minded Collections II: Preprojective Algebras and Semibrick Pairs of Full Rank}, author={Emily Barnard and Eric J. Hanson}, journal={Annals of Combinatorics}, year={2020}, volume={26}, pages={803 - 855}, url={https://api.semanticscholar.org/CorpusID:224727029} } @article{BTZ, title={Minimal inclusions of torsion classes}, author={Emily Barnard and Andrew T. Carroll and Shijie Zhu}, journal={Algebraic Combinatorics}, year={2017}, url={https://api.semanticscholar.org/CorpusID:43152935} } @article{Asai, title={Semibricks}, author={Sotaro Asai}, journal={International Mathematics Research Notices}, year={2018}, volume = {2020}, pages = {4993-5054}, url={https://doi.org/10.1093/imrn/rny150} } @incollection{thomas_tamari, title={The Tamari lattice as it arises in quiver representations}, author={Thomas, Hugh}, booktitle={Associahedra, Tamari Lattices and Related Structures: Tamari Memorial Festschrift}, pages={281--291}, year={2012}, publisher={Springer} } @article{Geyer, title={On Tamari lattices}, author={Winfried Geyer}, journal={Discret. Math.}, year={1994}, volume={133}, pages={99-122}, url={https://api.semanticscholar.org/CorpusID:204992537} } @article{Urquhart, title={A topological representation theory for lattices}, author={Alasdair Urquhart}, journal={algebra universalis}, year={1978}, volume={8}, pages={45-58}, url={https://api.semanticscholar.org/CorpusID:120588781} } @article{pons_chatel, title={Counting smaller elements in the Tamari and m-Tamari lattices}, author={Gr{\'e}gory Ch{\^a}tel and Viviane Pons}, journal={J. Comb. Theory, Ser. A}, year={2013}, volume={134}, pages={58-97}, url={https://api.semanticscholar.org/CorpusID:36342896} } @article{cpp, AUTHOR = {Chatel, Gr\'egory and Pilaud, Vincent and Pons, Viviane}, TITLE = {The weak order on integer posets}, JOURNAL = {Algebr. Comb.}, FJOURNAL = {Algebraic Combinatorics}, VOLUME = {2}, YEAR = {2019}, NUMBER = {1}, PAGES = {1--48}, DOI = {10.5802/alco.36}, } @article{Enomoto, title={From the Lattice of Torsion Classes to the Posets of Wide Subcategories and ICE-closed Subcategories}, author={Haruhisa Enomoto}, journal={Algebras and Representation Theory}, year={2022}, url={https://api.semanticscholar.org/CorpusID:245650262} } @article{DIRRT, AUTHOR = {Demonet, Laurent and Iyama, Osamu and Reading, Nathan and Reiten, Idun and Thomas, Hugh}, TITLE = {Lattice theory of torsion classes: beyond {$\tau$}-tilting theory}, JOURNAL = {Trans. Amer. Math. Soc. Ser. B}, FJOURNAL = {Transactions of the American Mathematical Society. Series B}, VOLUME = {10}, YEAR = {2023}, PAGES = {542--612}, DOI = {10.1090/btran/100}, URL = {https://doi.org/10.1090/btran/100}, } @article{chapoton_moulds, title={The anticyclic operad of moulds}, author={Fr{\'e}d{\'e}ric Chapoton}, journal={International Mathematics Research Notices}, year={2006}, volume={2007}, url={https://api.semanticscholar.org/CorpusID:14181985} } @article{chapoton_etal, title={An operational calculus for the Mould operad}, author={Fr{\'e}d{\'e}ric Chapoton and Florent Hivert and Jean-Christophe Novelli and Jean-Yves Thibon}, journal={International Mathematics Research Notices}, year={2007}, volume={2008}, pages={1-22}, url={https://api.semanticscholar.org/CorpusID:16833358} } @Article{rognerud_exceptional, Author = {Rognerud, Baptiste}, Title = {Exceptional and modern intervals of the {Tamari} lattice}, FJournal = {S{\'e}minaire Lotharingien de Combinatoire}, Journal = {S{\'e}min. Lothar. Comb.}, Volume = {79}, Pages = {article b79d, 23}, Year = {2020} } @article{tutte, title={A Census of Planar Triangulations}, author={William T. Tutte}, journal={Canadian Journal of Mathematics}, year={1962}, volume={14}, pages={21 - 38}, url={https://api.semanticscholar.org/CorpusID:119889956} } @article{chapoton_intervalles, title={Sur le nombre d'intervalles dans les treillis de Tamari}, author={Fr{\'e}d{\'e}ric Chapoton}, journal={arXiv: Combinatorics}, year={2006}, url={https://api.semanticscholar.org/CorpusID:119580159} } @article{Fang2015TheEO, title={The enumeration of generalized Tamari intervals}, author={Wenjie Fang and Louis-François Pr{\'e}ville-Ratelle}, journal={Eur. J. Comb.}, year={2015}, volume={61}, pages={69-84}, url={https://api.semanticscholar.org/CorpusID:12508541} } @article{BousquetMlou2011TheNO, title={The Number of Intervals in the m-Tamari Lattices}, author={Mireille Bousquet-M{\'e}lou and {\'E}ric Fusy and Louis-François Pr{\'e}ville-Ratelle}, journal={Electron. J. Comb.}, year={2011}, volume={18}, url={https://api.semanticscholar.org/CorpusID:30052001} } @article{Fang2020BijectiveLB, title={Bijective link between Chapoton's new intervals and bipartite planar maps}, author={Wenjie Fang}, journal={Eur. J. Comb.}, year={2020}, volume={97}, pages={103382}, url={https://api.semanticscholar.org/CorpusID:210472504} } @article{Fang2017ATO, title={A trinity of duality: Non-separable planar maps, $\beta$(1, 0)-trees and synchronized intervals}, author={Wenjie Fang}, journal={Adv. Appl. Math.}, year={2017}, volume={95}, pages={1-30}, url={https://api.semanticscholar.org/CorpusID:119723611} } @article{bernardi_bonichon, title={Intervals in Catalan lattices and realizers of triangulations}, author={Olivier Bernardi and Nicolas Bonichon}, journal={J. Comb. Theory, Ser. A}, year={2009}, volume={116}, pages={55-75}, url={https://api.semanticscholar.org/CorpusID:30816268} } @article{roitzheim2022n, AUTHOR = {Balchin, Scott and Barnes, David and Roitzheim, Constanze}, TITLE = {{$N_\infty$}-operads and associahedra}, JOURNAL = {Pacific J. Math.}, FJOURNAL = {Pacific Journal of Mathematics}, VOLUME = {315}, YEAR = {2021}, NUMBER = {2}, PAGES = {285--304}, DOI = {10.2140/pjm.2021.315.285}, URL = {https://doi.org/10.2140/pjm.2021.315.285}, } @article{buan_krause, title={Tilting and cotilting for quivers of type {\~A} n}, author={Aslak Bakke Buan and Henning Krause}, journal={Journal of Pure and Applied Algebra}, year={2004}, volume={190}, pages={1-21}, url={https://api.semanticscholar.org/CorpusID:122686349} } @article{happel_unger, title={On a Partial Order of Tilting Modules}, author={Dieter Happel and Luise Unger}, journal={Algebras and Representation Theory}, year={2005}, volume={8}, pages={147-156}, url={https://api.semanticscholar.org/CorpusID:117665512} } @article{rognerud_tamari, title={The bounded derived categories of the Tamari lattices are fractionally Calabi-Yau}, author={Rognerud, Baptiste}, journal={Advances in Mathematics}, volume={389}, pages={107885}, year={2021}, publisher={Elsevier} } @article{reading2006cambrian, AUTHOR = {Reading, Nathan}, TITLE = {Cambrian lattices}, JOURNAL = {Adv. Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {205}, YEAR = {2006}, NUMBER = {2}, PAGES = {313--353}, DOI = {10.1016/j.aim.2005.07.010}, URL = {https://doi.org/10.1016/j.aim.2005.07.010}, }