منابع مشابه
Odd Khovanov Homology
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 ...
متن کاملOdd Khovanov Homology Is Mutation Invariant
We define a link homology theory that is readily seen to be both isomorphic to reduced odd Khovanov homology and fully determined by data impervious to Conway mutation. This gives an elementary proof that odd Khovanov homology is mutation invariant over Z, and therefore that Khovanov homology is mutation invariant over Z/2Z. We also establish mutation invariance for the entire Ozsváth-Szabó spe...
متن کاملMonopole 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...
متن کاملFast Khovanov Homology Computations
We introduce a local algorithm for Khovanov Homology computations — that is, we explain how it is possible to “cancel” terms in the Khovanov complex associated with a (“local”) tangle, hence canceling the many associated “global” terms in one swoosh early on. This leads to a dramatic improvement in computational efficiency. Thus our program can rapidly compute certain Khovanov homology groups t...
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ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2013
ISSN: 1472-2739,1472-2747
DOI: 10.2140/agt.2013.13.1465