The Goldman bracket characterizes homeomorphisms between non-compact surfaces
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
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| _version_ | 1866911209571221504 |
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| author | Das, Sumanta Gadgil, Siddhartha Nair, Ajay Kumar |
| author_facet | Das, Sumanta Gadgil, Siddhartha Nair, Ajay Kumar |
| contents | We show that a homotopy equivalence between two non-compact orientable surfaces is homotopic to a homeomorphism if and only if it preserves the Goldman bracket, provided our surfaces are neither the plane nor the punctured plane. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_02769 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Goldman bracket characterizes homeomorphisms between non-compact surfaces Das, Sumanta Gadgil, Siddhartha Nair, Ajay Kumar Geometric Topology 57K20 We show that a homotopy equivalence between two non-compact orientable surfaces is homotopic to a homeomorphism if and only if it preserves the Goldman bracket, provided our surfaces are neither the plane nor the punctured plane. |
| title | The Goldman bracket characterizes homeomorphisms between non-compact surfaces |
| topic | Geometric Topology 57K20 |
| url | https://arxiv.org/abs/2307.02769 |