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 language||English (US)|
|Number of pages||28|
|State||Published - Feb 8 2019|
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