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  A contact homotopy type

Chanda, S., & Hirschi, A. (submitted). A contact homotopy type.

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2511.01821.pdf (Preprint), 2MB
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Chanda, Soham1, Author                 
Hirschi, Amanda, Author
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Symplectic Geometry, 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.

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Language(s): eng - English
 Dates: 2025-11-03
 Publication Status: Submitted
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 Rev. Type: No review
 Identifiers: arXiv: 2511.01821
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