The Linearized Floer Equation in a Chart
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912994094481408 |
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| author | Frauenfelder, Urs Weber, Joa |
| author_facet | Frauenfelder, Urs Weber, Joa |
| contents | In this article, we are considering the Hessian of the area functional in a non-Darboux chart. This does not seem to have been considered before and leads to an interesting new mathematical structure which we introduce in this article and refer to as almost extendable weak Hessian field. Our main result is a Fredholm theorem for Robbin-Salamon operatorsassociated to non-continuous Hessians which we prove by taking advantage of this new structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_20945 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Linearized Floer Equation in a Chart Frauenfelder, Urs Weber, Joa Symplectic Geometry Analysis of PDEs Functional Analysis 57R58 47A53 46B70 In this article, we are considering the Hessian of the area functional in a non-Darboux chart. This does not seem to have been considered before and leads to an interesting new mathematical structure which we introduce in this article and refer to as almost extendable weak Hessian field. Our main result is a Fredholm theorem for Robbin-Salamon operatorsassociated to non-continuous Hessians which we prove by taking advantage of this new structure. |
| title | The Linearized Floer Equation in a Chart |
| topic | Symplectic Geometry Analysis of PDEs Functional Analysis 57R58 47A53 46B70 |
| url | https://arxiv.org/abs/2510.20945 |