Alexander–Conway polynomial state model and link homology
نویسندگان
چکیده
منابع مشابه
A link polynomial via a vertex-edge-face state model
We construct a 2-variable link polynomial, called WL, for classical links by considering simultaneously the Kauffman state models for the Alexander and for the Jones polynomials. We conjecture that this polynomial is the product of two 1-variable polynomials, one of which is the Alexander polynomial. We refine WL to an ordered set of 3-variable polynomials for those links in 3-space which conta...
متن کاملLink homology and categorification
This is a short survey of algebro-combinatorial link homology theories which have the Jones polynomial and other link polynomials as their Euler characteristics. 2000 Mathematics Subject Classification: 57M25, 57Q45.
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We explain how rank two Frobenius extensions of commutative rings lead to link homology theories and discuss relations between these theories, Bar-Natan theories, equivariant cohomology and the Rasmussen invariant. AMS Subject Classification: 57M27 Frobenius systems. Suppose ι : R −→ A is an inclusion of commutative rings, and ι(1) = 1. The restriction functor Res : A−mod −→ R−mod has left and ...
متن کاملSl(3) Link Homology
We define a bigraded homology theory whose Euler characteristic is the quantum sl(3) link invariant. AMS Classification 81R50, 57M27; 18G60
متن کاملSingular link Floer homology
We define a grid presentation for singular links, i.e. links with a finite number of rigid transverse double points. Then we use it to generalize link Floer homology to singular links. Besides the consistency of its definition, we prove that this homology is acyclic under some conditions which naturally make its Euler characteristic vanish. Introduction Since the Jones polynomial was categorifi...
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ژورنال
عنوان ژورنال: Journal of Knot Theory and Its Ramifications
سال: 2016
ISSN: 0218-2165,1793-6527
DOI: 10.1142/s0218216516400058