Analytic lattice cohomology of surface singularities, II (the equivariant case)
Algebraic Geometry
2021-08-31 v1
Abstract
We construct the equivariant analytic lattice cohomology associated with the analytic type of a complex normal surface singularity whenever the link is a rational homology sphere. It is the categorification of the equivariant geometric genus of the germ. This is the analytic analogue of the topological lattice cohomology, associated with the link of the germ, and indexed by the spin--structures of the link (which is a categorification of the Seiberg--Witten invariant and conjecturally it is isomorphic with the Heegaard Floer cohomology).
Keywords
Cite
@article{arxiv.2108.12429,
title = {Analytic lattice cohomology of surface singularities, II (the equivariant case)},
author = {Tamás Ágoston and András Némethi},
journal= {arXiv preprint arXiv:2108.12429},
year = {2021}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2108.12294