Gl2 Foam Functoriality and Skein Positivity
Quantum Algebra
2022-09-20 v1 Geometric Topology
Representation Theory
Abstract
We prove full functoriality of Khovanov homology for tangled framed gl2 webs. We use this functoriality result to prove a strong positivity result for (orientable) surface skein algebras. The argument goes categorical and consists in proving that so-called linear complexes are stable under superposition.
Keywords
Cite
@article{arxiv.2209.08794,
title = {Gl2 Foam Functoriality and Skein Positivity},
author = {Hoel Queffelec},
journal= {arXiv preprint arXiv:2209.08794},
year = {2022}
}
Comments
71 pages. Preliminary version, comments welcome!