A contact homotopy type
Symplectic Geometry
2025-11-04 v1 Algebraic Topology
Geometric Topology
Abstract
Adapting the construction of global Kuranishi charts to the contact setting, we associate to any non-degenerate contact manifold a flow category based on Reeb orbits and moduli spaces of pseudo-holomorphic buildings. The construction lifts contact homology and is natural in the sense that to any exact symplectic cobordism we can associate a flow bimodule between the flow categories of its ends.
Cite
@article{arxiv.2511.01821,
title = {A contact homotopy type},
author = {Soham Chanda and Amanda Hirschi},
journal= {arXiv preprint arXiv:2511.01821},
year = {2025}
}
Comments
83 pages, comments welcome!