Bar Natan's deformation of Khovanov homology and involutive monopole Floer homology

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• Francesco Lin (Princeton University)
• Thursday 20 April 2017, 15:15-16:15
• Seminar Room 2, Newton Institute.

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We study the conjugation involution in Seiberg-Witten theory in the context of the Ozsvath-Szabo and Bloom's spectral sequence for the branched double cover of a link L in S^{3. We show that there exists a spectral sequence of F[Q]/Q}2-modules (where Q has degree −1) which converges to 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. We conjecture that an analogous result holds in the setting of Pin(2)-monopole Floer homology.

This talk is part of the Isaac Newton Institute Seminar Series series.

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