Planar graphs deformations of bordered knot algebras
Geometric Topology
2023-11-14 v1 Symplectic Geometry
Abstract
In an earlier paper, we introduced ``bordered knot algebras'', which are graded algebras indexed by a pair of integers (m,k). In a subsequent paper, we introduced a two-parameter family of differential graded algebra, the ``pong algebras'', and identified their homology with the bordered knot algebras, and characterized the induced A-infinity structure on the homology. The aim of the present paper is to give an explicit, combinatorial model for this A-infinity structure on the bordered knot algebras, and a further weighted deformation of this structure, in the case where k=1.
Cite
@article{arxiv.2311.07503,
title = {Planar graphs deformations of bordered knot algebras},
author = {Peter Ozsvath and Zoltan Szabo},
journal= {arXiv preprint arXiv:2311.07503},
year = {2023}
}