Deformations of colored sl(N) link homologies via foams

By David E. V. Rose, Paul Wedrich. 2015

48 citations recorded by the source corpus.

We generalize results of Lee, Gornik and Wu on the structure of deformed colored sl(N) link homologies to the case of non-generic deformations. To this end, we use foam technology to give a completely combinatorial construction of Wu's deformed colored sl(N) link homologies. By studying the underlying deformed higher representation theoretic structures and generalizing the Karoubi envelope approach of Bar-Natan and Morrison we explicitly compute the deformed invariants in terms of undeformed type A link homologies of lower rank and color.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/eaea364e24971f12d7a2dbaac43f9f3d45bef4d5

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Michael Ehrig
2. D. Tubbenhauer
3. Paul Wedrich

In Mathematical Physics

1. Michael Ehrig
2. D. Tubbenhauer
3. Paul Wedrich

Citations in the corpus

• Functoriality of colored link homologies (2017, methodology): “uraev invariants outside of type A. Our wish list for such constructions includes that they should allow deformations along splittings of the corresponding Dynkin diagram, as it is the case in type A [43]. This might eventually help to prove functoriality properties for link homologies in other type”