A contact homotopy type
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866908625421729792 |
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| author | Chanda, Soham Hirschi, Amanda |
| author_facet | Chanda, Soham Hirschi, Amanda |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_01821 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A contact homotopy type Chanda, Soham Hirschi, Amanda Symplectic Geometry Algebraic Topology Geometric Topology 53D10, 53D42 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. |
| title | A contact homotopy type |
| topic | Symplectic Geometry Algebraic Topology Geometric Topology 53D10, 53D42 |
| url | https://arxiv.org/abs/2511.01821 |