EMIS ELibM Electronic Journals Publications de l’Institut Mathématique, Nouvelle Série
Vol. 102[116], pp. 61–71 (2017)

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Contact Blow Up and Cylindrical Contact Homology of Toric Contact Manifolds of Reeb Type

Aleksandra Marinković

Center for Mathematical Analysis, Geometry and Dynamical Systems, Mathematics Department, Instituto Superior Técnico, Universidade de Lisboa, Lisboa, Portugal

Abstract: Let (V,ξ) be a toric contact manifold of Reeb type that is a prequantization of a toric symplectic manifold (M,ω). A contact blow up of (V,ξ) is the prequantization of a symplectic blow up of (M,ω). Thus, a contact blow up of (V,ξ) is a new toric contact manifold of Reeb type. In some special cases we are able to compute the cylindrical contact homology for the contact blow-up using only the cylindrical contact homology of the contact manifold we started with.

Keywords: toric contact manifold, contact blow up, cylindrical contact homology

Classification (MSC2000): 53D10; 57R17

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Electronic fulltext finalized on: 3 Nov 2017. This page was last modified: 29 Jan 2018.

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