Sutures and contact homology I

By V. Colin, P. Ghiggini, K. Honda, Michael Hutchings. 2010

55 citations recorded by the source corpus.

We define a relative version of contact homology for contact manifolds with convex boundary, and prove basic properties of this relative contact homology. Similar considerations also hold for embedded contact homology.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/5c8fe3d8ce83adbc94e161718fe09f4c472f0c95

Citations in the corpus

• Cylindrical contact homology for dynamically convex contact forms in three dimensions (2014, unknown): “(b) The proofs of Theorems 1.3 and 1.6 give a construction of cylindrical contact homology on sutured contact three-manifolds [8] admitting dynamically convex contact forms satisfying (*).”