paper

The Arc-Floer conjecture for plane curves

arXiv:2308.00051

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.

Final version