The Hall Algebras of Surfaces I
Symplectic Geometry
2020-05-06 v1 Quantum Algebra
Abstract
We study the derived Hall algebra of the partially wrapped Fukaya category of a surface. We give an explicit description of the Hall algebra for the disk with m marked intervals and we give a conjectural description of the Hall algebras of all surfaces with enough marked intervals. Then we use a functoriality result to show that a graded version of the HOMFLY-PT skein relation holds among certain arcs in the Hall algebras of general surfaces.
Cite
@article{arxiv.1708.00889,
title = {The Hall Algebras of Surfaces I},
author = {Benjamin Cooper and Peter Samuelson},
journal= {arXiv preprint arXiv:1708.00889},
year = {2020}
}
Comments
63 pages