A remark on Khovanov homology and two-fold branched covers

2008/08/20 by Liam Watson, Watson, Liam
Mathematics · #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.0808.2797

openalex publication_date 2008/08/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Examples of knots and links distinguished by the total rank of their Khovanov homology but sharing the same two-fold branched cover are given. As a result, Khovanov homology does not yield an invariant of two-fold branched covers.

Citations

• The Geometries of 3-Manifolds

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