Anchored foams and annular homology
Geometric Topology
2023-10-04 v1 Quantum Algebra
Abstract
We describe equivariant SL(2) and SL(3) homology for links in the solid torus via foam evaluation. The solid torus is replaced by 3-space with a distinguished line in it. Generators of state spaces for annular webs are represented by foams with boundary that may intersect the distinguished line; intersection points, called anchor points, contribute additional terms, reminiscent of square roots of the Hessian, to the foam evaluation. Both oriented and unoriented SL(3) foams are treated in the paper.
Cite
@article{arxiv.2105.00921,
title = {Anchored foams and annular homology},
author = {Rostislav Akhmechet and Mikhail Khovanov},
journal= {arXiv preprint arXiv:2105.00921},
year = {2023}
}
Comments
56 pages, many figures