Sutures and contact homology I
arXiv:1004.2942 · doi:10.2140/gt.2011.15.1749
Abstract
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.
References in corpus (4)
Cited by in corpus (22)
- Sutures and contact homology I
- Liouville hypersurfaces and connect sum cobordisms
- Embedded contact homology and open book decompositions
- A contact invariant in sutured monopole homology
- Instanton Floer homology, sutures, and Heegaard diagrams
- Contact Homology of Orbit Complements and Implied Existence
- Joining and gluing sutured Floer homology
- Convex hypersurface theory in contact topology
- Bypass attachments in higher-dimensional contact topology
- HF = ECH via open book decompositions: a summary
- Sutured ECH is a natural invariant
- Generalized plumbings and Murasugi sums
- Getting a handle on contact manifolds
- Dimensionally-reduced sutured Floer homology as a string homology
- Combinatorial Reeb dynamics on punctured contact 3-manifolds
- The cylindrical contact homology of universally tight sutured contact solid tori
- Sutured Manifolds and Polynomial Invariants from Higher Rank Bundles
- A categorification of the Alexander polynomial in embedded contact homology
- Tangle contact homology
- Reeb periodic orbits after a bypass attachment
- An exposition of the equivalence of Heegaard Floer homology and embedded contact homology
- Foliations, contact structures and their interactions in dimension three