Analytic lattice cohomology of surface singularities, II (the equivariant case)

Autor:	Ágoston, Tamás, Némethi, András
Rok vydání:	2021
Předmět:	Mathematics - Algebraic Geometry 32S05 32S25 32S50 (Primary) 14Bxx 14J80 (Secondary)
Druh dokumentu:	Working Paper
Popis:	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$^c$--structures of the link (which is a categorification of the Seiberg--Witten invariant and conjecturally it is isomorphic with the Heegaard Floer cohomology). Comment: arXiv admin note: substantial text overlap with arXiv:2108.12294
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2108.12429 Zobrazit plný text záznamu View this record from Arxiv