Analytic and topological realizations of the invariant Thom-Smale complex
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866910784638943232 |
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| author | Zhuang, Hao |
| author_facet | Zhuang, Hao |
| contents | With the smooth action of a connected compact Lie group G, we realize the G-invariant Thom-Smale complex in an analytic way using the G-invariant Witten instanton complex. Both complexes are associated to a specific Morse-Bott function on a closed oriented G-manifold. This result includes the influence from the horizontal direction around the critical set, generalizing the strict Morse case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_10417 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Analytic and topological realizations of the invariant Thom-Smale complex Zhuang, Hao Differential Geometry Analysis of PDEs Dynamical Systems 58J37, 37D15, 58A14 With the smooth action of a connected compact Lie group G, we realize the G-invariant Thom-Smale complex in an analytic way using the G-invariant Witten instanton complex. Both complexes are associated to a specific Morse-Bott function on a closed oriented G-manifold. This result includes the influence from the horizontal direction around the critical set, generalizing the strict Morse case. |
| title | Analytic and topological realizations of the invariant Thom-Smale complex |
| topic | Differential Geometry Analysis of PDEs Dynamical Systems 58J37, 37D15, 58A14 |
| url | https://arxiv.org/abs/2311.10417 |