Generic $\mathfrak{gl}_2$-foams, web and arc algebras
Geometric Topology
2020-10-23 v3 Representation Theory
Abstract
We define parameter dependent -foams and their associated web and arc algebras, and verify that they specialize to several known or constructions related to higher link and tangle invariants. Moreover, we show that all these specializations are equivalent, and we deduce several applications, e.g. we discuss the consequences for the associated link and tangle invariants, and their functoriality.
Cite
@article{arxiv.1601.08010,
title = {Generic $\mathfrak{gl}_2$-foams, web and arc algebras},
author = {Michael Ehrig and Catharina Stroppel and Daniel Tubbenhauer},
journal= {arXiv preprint arXiv:1601.08010},
year = {2020}
}
Comments
Section on functoriality added and other significant changes, 42 pages, many colored figures, comments welcome