منابع مشابه
THE UNIVERSAL sl3-LINK HOMOLOGY
We define the universal sl3-link homology, which depends on 3 parameters, following Khovanov’s approach with foams. We show that this 3parameter link homology, when taken with complex coefficients, can be divided into 3 isomorphism classes. The first class is the one to which Khovanov’s original sl3-link homology belongs, the second is the one studied by Gornik in the context of matrix factoriz...
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 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.
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...
متن کاملEquivariant sl(n)-link homology
For every positive integer n we construct a bigraded homology theory for links, such that the corresponding invariant of the unknot is closely related to the U(n)-equivariant cohomology ring of CP; our construction specializes to the Khovanonv-Rozansky sln-homology. We are motivated by the “universal” rank two Frobenius extension studied by M. Khovanov in [11] for sl2-homology.
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ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2004
ISSN: 1472-2739,1472-2747
DOI: 10.2140/agt.2004.4.1045