A contact homotopy type

Chanda, Soham; Hirschi, Amanda

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A contact homotopy type

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Chanda, Soham
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.48550/arXiv.2511.01821
(Preprint)

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2511.01821.pdf
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Citation

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

Cite as: https://hdl.handle.net/21.11116/0000-0012-0D29-1

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.