%% This BibTeX bibliography file was created using BibDesk. %% http://bibdesk.sourceforge.net/ %% Created for Nick Beaton at 2016-09-24 13:54:23 -0600 %% Saved with string encoding Unicode (UTF-8) @misc{galashin2021poset, title={Poset associahedra}, author={Galashin, Pavel}, eprint={2110.07257}, year={2021} } @article{laplante2022diagonal, title={The diagonal of the operahedra}, author={Laplante-Anfossi, Guillaume}, journal={Advances in Mathematics}, volume={405}, pages={108494}, year={2022}, publisher={Elsevier} } @article{stanley1986two, title={Two poset polytopes}, author={Stanley, Richard P}, journal={Discrete \& Computational Geometry}, volume={1}, number={1}, pages={9--23}, year={1986}, publisher={Springer} } @article{axelrod1994chern, title={Chern-Simons perturbation theory. II}, author={Axelrod, Scott and Singer, Isadore M}, journal={Journal of Differential Geometry}, volume={39}, number={1}, pages={173--213}, year={1994}, publisher={Lehigh University} } @article{sinha2004manifold, title={Manifold-theoretic compactifications of configuration spaces}, author={Sinha, Dev P}, journal={Selecta Mathematica}, volume={10}, number={3}, pages={391--428}, year={2004}, publisher={Springer} } @article{lambrechts2010associahedron, title={Associahedron, cyclohedron and permutohedron as compactifications of configuration spaces}, author={Lambrechts, Pascal and Turchin, Victor and Voli{\'c}, Ismar}, journal={Bulletin of the Belgian Mathematical Society-Simon Stevin}, volume={17}, number={2}, pages={303--332}, year={2010}, publisher={The Belgian Mathematical Society} } @article{devadoss2009realization, title={A realization of graph associahedra}, author={Devadoss, Satyan L}, journal={Discrete Mathematics}, volume={309}, number={1}, pages={271--276}, year={2009}, publisher={Elsevier} } @article{postnikov2008faces, title={Faces of Generalized Permutohedra}, author={Postnikov, Alex and Reiner, Victor and Williams, Lauren}, journal={Documenta Mathematica}, volume={13}, pages={207--273}, year={2008} } @article {hajnalCatalan, AUTHOR = {Hajnal, P\'{e}ter and Nagy, G\'{a}bor V.}, TITLE = {A bijective proof of {S}hapiro's {C}atalan convolution}, JOURNAL = {Electron. J. Combin.}, FJOURNAL = {Electronic Journal of Combinatorics}, VOLUME = {21}, YEAR = {2014}, NUMBER = {2}, PAGES = {Paper 2.42, 10}, MRCLASS = {05A19 (05A10)}, MRNUMBER = {3244808}, MRREVIEWER = {David Callan}, DOI = {10.37236/3909}, URL = {https://doi.org/10.37236/3909}, } @article{bott1994self, title={On the self-linking of knots}, author={Bott, Raoul and Taubes, Clifford}, journal={Journal of Mathematical Physics}, volume={35}, number={10}, pages={5247--5287}, year={1994}, publisher={American Institute of Physics} } @article{markl1999simplex, title={Simplex, associahedron, and cyclohedron}, author={Markl, Martin}, journal={Contemporary Mathematics}, volume={227}, pages={235--266}, year={1999}, publisher={American Mathematical Society} } @article{StasheffCyclohedron, author = {Stasheff, Jim}, year = {1996}, month = {09}, pages = {}, title = {From Operads to `Physically' Inspired Theories} } @article{tamari1954monoides, title={Mono{\"\i}des pr{\'e}ordonn{\'e}s et cha{\^\i}nes de Malcev}, author={Tamari, Dov}, journal={Bulletin de la Soci{\'e}t{\'e} math{\'e}matique de France}, volume={82}, pages={53--96}, year={1954} } @article{haiman1984constructing, title={Constructing the associahedron}, author={Haiman, Mark}, journal={Unpublished manuscript, MIT}, year={1984} } @unpublished{mantovani2023Poset, author = {Mantovani, Chiara and Padrol, Arnau and Pilaud, Vincent}, title = {Acyclonestohedra: when oriented matroids meet nestohedra}, year = {in prep.}, } @article{carr2006coxeter, title={Coxeter complexes and graph-associahedra}, author={Carr, Michael and Devadoss, Satyan L}, journal={Topology and its Applications}, volume={153}, number={12}, pages={2155--2168}, year={2006}, publisher={Elsevier} } @book{petersen2015Eulerian, author = {Petersen, Kyle}, year = {2015}, month = {10}, pages = {}, title = {Eulerian Numbers}, isbn = {978-1-4939-3090-6}, doi = {10.1007/978-1-4939-3091-3} } @article{SIMION20032, title = {A type-B associahedron}, journal = {Advances in Applied Mathematics}, volume = {30}, number = {1}, pages = {2-25}, year = {2003}, issn = {0196-8858}, doi = {https://doi.org/10.1016/S0196-8858(02)00522-5}, url = {https://www.sciencedirect.com/science/article/pii/S0196885802005225}, author = {Rodica Simion}, keywords = {Polygon dissection, Associahedron, Noncrossing partition, Restricted permutation, Type-B root system, Tessellation}, abstract = {The (type-A) associahedron is a polytope related to polygon dissections which arises in several mathematical subjects. We propose a B-analogue of the associahedron. Our original motivation was to extend the analogies between type-A and type-B noncrossing partitions, by exhibiting a simplicial polytope whose h-vector is given by the rank-sizes of the type-B noncrossing partition lattice, just as the h-vector of the (simplicial type-A) associahedron is given by the Narayana numbers. The desired polytope QBn is constructed via stellar subdivisions of a simplex, similarly to Lee's construction of the associahedron. As in the case of the (type-A) associahedron, the faces of QBn can be described in terms of dissections of a convex polygon, and the f-vector can be computed from lattice path enumeration. Properties of the simple dual QB∗n are also discussed and the construction of a space tessellated by QB∗n is given. Additional analogies and relations with type A and further questions are also discussed.} } @book{ziegler2012lectures, title={Lectures on polytopes}, author={Ziegler, G{\"u}nter M}, volume={152}, year={2012}, publisher={Springer Science \& Business Media} }