Floerfolds and Floer functions
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866929693525016576 |
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| author | Frauenfelder, Urs Weber, Joa |
| author_facet | Frauenfelder, Urs Weber, Joa |
| contents | In this article we introduce the notion of Floer function which has the property that the Hessian is a Fredholm operator of index zero in a scale of Hilbert spaces. Since the Hessian has a complicated transformation under chart transition, in general this is not an intrinsic condition. Therefore we introduce the concept of Floerfolds for which we show that the notion of Floer function is intrinsic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_00216 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Floerfolds and Floer functions Frauenfelder, Urs Weber, Joa Symplectic Geometry Analysis of PDEs Differential Geometry 57R58 58B10 In this article we introduce the notion of Floer function which has the property that the Hessian is a Fredholm operator of index zero in a scale of Hilbert spaces. Since the Hessian has a complicated transformation under chart transition, in general this is not an intrinsic condition. Therefore we introduce the concept of Floerfolds for which we show that the notion of Floer function is intrinsic. |
| title | Floerfolds and Floer functions |
| topic | Symplectic Geometry Analysis of PDEs Differential Geometry 57R58 58B10 |
| url | https://arxiv.org/abs/2502.00216 |