The Arc-Floer conjecture for plane curves
Algebraic Geometry
2025-09-03 v2 Symplectic Geometry
Abstract
In arXiv:1911.08213 it was conjectured that the compactly supported cohomology of the -th restricted contact locus of an isolated hypersurface singularity coincides, up to a shift, with the Floer cohomology of the -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.
Cite
@article{arxiv.2308.00051,
title = {The Arc-Floer conjecture for plane curves},
author = {Javier de la Bodega and Eduardo de Lorenzo Poza},
journal= {arXiv preprint arXiv:2308.00051},
year = {2025}
}
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