A link-splitting spectral sequence in Khovanov homology
نویسندگان
چکیده
منابع مشابه
Monopole Floer Homology, Link Surgery, and Odd Khovanov Homology
Monopole Floer Homology, Link Surgery, and Odd Khovanov Homology Jonathan Michael Bloom We construct a link surgery spectral sequence for all versions of monopole Floer homology with mod 2 coefficients, generalizing the exact triangle. The spectral sequence begins with the monopole Floer homology of a hypercube of surgeries on a 3-manifold Y , and converges to the monopole Floer homology of Y i...
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To a link L ⊂ S, we associate a spectral sequence whose E page is the reduced Khovanov homology of L and which converges to a version of the monopole Floer homology of the branched double cover. The pages E for k ≥ 2 depend only on the mutation equivalence class of L. We define a mod 2 grading on the spectral sequence which interpolates between the δ-grading on Khovanov homology and the mod 2 g...
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Abstract In [10], Mikhail Khovanov constructed a homology theory for oriented links, whose graded Euler characteristic is the Jones polynomial. He also explained how every link cobordism between two links induces a homomorphism between their homology groups, and he conjectured the invariance (up to sign) of this homomorphism under ambient isotopy of the link cobordism. In this paper we prove th...
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ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 2015
ISSN: 0012-7094
DOI: 10.1215/00127094-2881374