Floer theory for Lagrangian cobordisms
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2015
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| _version_ | 1866909478725615616 |
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| author | Chantraine, Baptiste Rizell, Georgios Dimitroglou Ghiggini, Paolo Golovko, Roman |
| author_facet | Chantraine, Baptiste Rizell, Georgios Dimitroglou Ghiggini, Paolo Golovko, Roman |
| contents | In this article we define intersection Floer homology for exact Lagrangian cobordisms between Legendrian submanifolds in the contactisation of a Liouville manifold, provided that the Chekanov-Eliashberg algebras of the negative ends of the cobordisms admit augmentations. From this theory we derive several exact sequences relating the Morse homology of an exact Lagrangian cobordism with the bilinearised contact homologies of its ends. These are then used to investigate the topological properties of exact Lagrangian cobordisms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1511_09471 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | Floer theory for Lagrangian cobordisms Chantraine, Baptiste Rizell, Georgios Dimitroglou Ghiggini, Paolo Golovko, Roman Symplectic Geometry 57R58, 53D42, 53D12 In this article we define intersection Floer homology for exact Lagrangian cobordisms between Legendrian submanifolds in the contactisation of a Liouville manifold, provided that the Chekanov-Eliashberg algebras of the negative ends of the cobordisms admit augmentations. From this theory we derive several exact sequences relating the Morse homology of an exact Lagrangian cobordism with the bilinearised contact homologies of its ends. These are then used to investigate the topological properties of exact Lagrangian cobordisms. |
| title | Floer theory for Lagrangian cobordisms |
| topic | Symplectic Geometry 57R58, 53D42, 53D12 |
| url | https://arxiv.org/abs/1511.09471 |