Sutures and contact homology I
Vincent Colin, Paolo Ghiggini, Ko Honda, Michael Hutchings
TL;DR
This paper introduces a relative version of contact homology for contact manifolds with convex boundary, establishing foundational properties and extending considerations to embedded contact homology.
Contribution
It defines a new relative contact homology framework for manifolds with boundary and proves its fundamental properties, expanding the scope of contact homology theories.
Findings
Defined relative contact homology for convex boundary manifolds
Proved basic properties of the new homology theory
Extended considerations to embedded contact homology
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.