Link homology and Frobenius extensions II
Volume 256 / 2022
Fundamenta Mathematicae 256 (2022), 1-46 MSC: 57K18, 57K16, 18N25, 13B02. DOI: 10.4064/fm912-6-2021 Published online: 13 September 2021
The first two sections of the paper provide a convenient scheme and additional diagrammatics for working with Frobenius extensions responsible for key flavors of equivariant SL(2) link homology theories. The goal is to clarify some basic structures in the theory and propose a setup to work over sufficiently non-degenerate base rings. The third section works out two related SL(2) evaluations for seamed surfaces.