Bar-Natan’s deformation of Khovanov homology and involutive monopole Floer homology

Francesco Lin

Research output: Contribution to journalArticle

Abstract

We study the conjugation involution in Seiberg–Witten theory in the context of Ozsváth–Szabó and Bloom’s spectral sequence for the branched double cover of a link L in S 3 . We prove that there exists a spectral sequence of F[Q] / Q 2 -modules (where Q has degree - 1) which converges to HMI~ (Σ (L)) , an involutive version of the monopole Floer homology of the branched double cover, and whose E 2 -page is a version of Bar-Natan’s deformation of Khovanov homology in characteristic two of the mirror of L.

Original languageEnglish (US)
Pages (from-to)489-516
Number of pages28
JournalMathematische Annalen
Volume373
Issue number1-2
DOIs
StatePublished - Feb 8 2019

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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