The Arc-Floer conjecture for plane curves
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866915473241669632 |
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| author | de la Bodega, Javier Poza, Eduardo de Lorenzo |
| author_facet | de la Bodega, Javier Poza, Eduardo de Lorenzo |
| contents | In arXiv:1911.08213 it was conjectured that the compactly supported cohomology of the $m$-th restricted contact locus of an isolated hypersurface singularity coincides, up to a shift, with the Floer cohomology of the $m$-th iterate of the monodromy of the Milnor fiber. In this paper we give an affirmative answer to this conjecture in the case of plane curves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_00051 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Arc-Floer conjecture for plane curves de la Bodega, Javier Poza, Eduardo de Lorenzo Algebraic Geometry Symplectic Geometry 14E18 (Primary) 53D40, 14H50, 14H20 (Secondary) In arXiv:1911.08213 it was conjectured that the compactly supported cohomology of the $m$-th restricted contact locus of an isolated hypersurface singularity coincides, up to a shift, with the Floer cohomology of the $m$-th iterate of the monodromy of the Milnor fiber. In this paper we give an affirmative answer to this conjecture in the case of plane curves. |
| title | The Arc-Floer conjecture for plane curves |
| topic | Algebraic Geometry Symplectic Geometry 14E18 (Primary) 53D40, 14H50, 14H20 (Secondary) |
| url | https://arxiv.org/abs/2308.00051 |