Gl2 Foam Functoriality and Skein Positivity
arXiv:2209.08794
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.
71 pages. Preliminary version, comments welcome!