My Contact Homology Shopping List
Viktor L. Ginzburg
TL;DR
This paper compiles essential properties of contact homology necessary for recent applications in dynamical systems, serving as a reference for researchers working on contact homology proofs.
Contribution
It provides a comprehensive list of contact homology properties beyond formal aspects, aiding in the validation of recent dynamical applications.
Findings
Identifies key properties of contact homology needed for proofs
Facilitates future research by clarifying necessary conditions
Supports the application of contact homology in dynamics
Abstract
We list the properties of contact homology, beyond purely formal, needed for the proofs of some of the recent applications of contact homology in dynamics to work. The list is put together for the AIM Transversality in Contact Homology Workshop.
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Taxonomy
TopicsGeometric and Algebraic Topology · Topological and Geometric Data Analysis · Homotopy and Cohomology in Algebraic Topology