منابع مشابه
On Khovanov Invariant for Alternating Links
We prove the first conjecture of Bar-Natan, Garoufalidis, and Khovanov on the Khovanov invariant for alternating knots.
متن کاملAn Endomorphism of the Khovanov Invariant
We construct an endomorphism of the Khovanov invariant to prove H-thinness and pairing phenomena of the invariants for alternating links. As a consequence, it follows that the Khovanov invariant of an oriented nonsplit alternating link is determined by its Jones polynomial, signature, and the linking numbers of its components.
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 کاملOn a Metric on Translation Invariant Spaces
In this paper we de ne a metric on the collection of all translation invarinat spaces on a locally compact abelian group and we study some properties of the metric space.
متن کاملAn invariant of link cobordisms from Khovanov homology
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: Journal of Knot Theory and Its Ramifications
سال: 2012
ISSN: 0218-2165,1793-6527
DOI: 10.1142/s0218216511009844