Abstract
We study the conjugation involution in Seiberg–Witten theory in the context of Ozsvath–Szabo 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 $$\mathbb {F}[Q]/Q^2$$ -modules (where Q has degree $$-1$$ ) which converges to $$\widetilde{ HMI }_*(\Sigma (L)),$$ 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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.