The 1,2-coloured HOMFLY-PT link homology
Marco Mackaay, Marko Stosic, Pedro Vaz
TL;DR
This paper introduces a new 1,2-coloured HOMFLY-PT link homology, proving it is a link invariant and conjecturing it categorifies the coloured HOMFLY-PT polynomial for certain links.
Contribution
It defines the 1,2-coloured HOMFLY-PT link homology and establishes its invariance, advancing link homology theory.
Findings
Proved the homology is a link invariant
Defined the 1,2-coloured HOMFLY-PT link homology
Conjectured categorification of the coloured HOMFLY-PT polynomial
Abstract
In this paper we define the 1,2-coloured HOMFLY-PT link homology and prove that it is a link invariant. We conjecture that this homology categorifies the coloured HOMFLY-PT polynomial for links whose components are labelled 1 or 2.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models