Exact triangle and spectral sequence of the equivariant Floer homology of double branched covers
Year: 2026
Type: preprint
Abstract: In [OS05] the authors proved an exact triangle for the Heegaard Floer homology of the double branched covers associated to a skein sequence of links, and constructed a spectral sequence from the reduced Khovanov homology to the Heegaard Floer homology of the double branched cover of a link. For $L \subset S^3$ a link and $Σ(L)$ its double branched cover, the invariant $HF(Σ(L))$ doesn't capture the information of the natural involution on $Σ(L)$. In this paper we study the equivariant version of $HF(Σ(L))$ and prove that similar exact triangle and spectral sequence hold for this equivariant version.
Source: arXiv (Cornell University)
Author: Huang, Jinzhou
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7214945736