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The Arc-Floer conjecture for plane curves

2023/07/31 by de la Bodega, Javier, Poza, Eduardo de Lorenzo · 1 citation
#14E18 (Primary) 53D40 #14H20 (Secondary) #14H50 #Algebraic Geometry (math.AG) #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2308.00051

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.

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