The Arc-Floer conjecture for plane curves

Author:

Javier de la Bodega, Eduardo de Lorenzo Poza

Keyword:

Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG), Symplectic Geometry (math.SG)

journal:

date:

2023-07-30 16:00:00

Abstract

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.

PDF: The Arc-Floer conjecture for plane curves.pdf