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June 2014 On the anti-diagonal filtration for the Heegard Floer chain complex of a branched double-cover
Eamonn Tweedy
J. Symplectic Geom. 12(2): 313-363 (June 2014).

Abstract

Seidel and Smith introduced the graded fixed-point symplectic Khovanov cohomology group $Kh_{\rm symp,~inv}(K)$ for a knot $K \subset S^{3}$, as well as a spectral sequence converging to the Heegaard Floer homology group $\widehat{HF}(\Sigma (K) \# (S^2 \times S^1))$ with $E^1$-page isomorphic to a factor of $Kh_{\rm symp,~inv}(K)$. There the authors proved that $Kh_{\rm symp,~inv}$ is a knot invariant. We show here that the higher pages of their spectral sequence are knot invariants also.

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Eamonn Tweedy. "On the anti-diagonal filtration for the Heegard Floer chain complex of a branched double-cover." J. Symplectic Geom. 12 (2) 313 - 363, June 2014.

Information

Published: June 2014
First available in Project Euclid: 29 August 2014

zbMATH: 1302.57049
MathSciNet: MR3210579

Rights: Copyright © 2014 International Press of Boston

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Vol.12 • No. 2 • June 2014
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