A perturbation of the geometric spectral sequence in Khovanov homology
نویسندگان
چکیده
منابع مشابه
On the Spectral Sequence from Khovanov Homology to Heegaard Floer Homology
Ozsváth and Szabó show in [10] that there is a spectral sequence whose E term is g Kh(L), and which converges to d HF (−Σ(L)). We prove that the E term of this spectral sequence is an invariant of the link L for all k ≥ 2. If L is a transverse link in (S, ξstd), then we show that Plamenevskaya’s transverse invariant ψ(L) gives rise to a transverse invariant of L in the E term for each k ≥ 2.
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A spectral sequence converging to Khovanov homology is constructed which is applied to calculate the rational Khovanov homology of (3, q)-torus links.
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We describe an invariant of links in S which is closely related to Khovanov’s Jones polynomial homology. Our construction replaces the symmetric algebra appearing in Khovanov’s definition with an exterior algebra. The two invariants have the same reduction modulo 2, but differ over Q. There is a reduced version which is a link invariant whose graded Euler characteristic is the normalized Jones ...
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ژورنال
عنوان ژورنال: Quantum Topology
سال: 2017
ISSN: 1663-487X
DOI: 10.4171/qt/97