Functoriality of colored link homologies
Michael Ehrig, Daniel Tubbenhauer, Paul Wedrich
TL;DR
This paper proves that certain advanced link invariants, specifically the bigraded colored Khovanov-Rozansky invariants, are functorial under link and tangle cobordisms, establishing a key property in knot theory.
Contribution
It demonstrates the functoriality of bigraded colored Khovanov-Rozansky link and tangle invariants, a significant advancement in understanding their structural properties.
Findings
Proved functoriality of bigraded colored Khovanov-Rozansky invariants
Established invariants' behavior under link and tangle cobordisms
Enhanced the theoretical framework of link homologies
Abstract
We prove that the bigraded colored Khovanov-Rozansky type A link and tangle invariants are functorial with respect to link and tangle cobordisms.
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