Quantum groups from homologies of configuration spaces
Quantum Algebra
2024-05-14 v1 Geometric Topology
Abstract
We reconstruct a quantum group associated with any Lie algebra together with its representation theory from twisted homologies of generalized configuration spaces of disks. Along the way it brings new combinatorics to the theory, but our diagrams represent true submanifolds of configuration spaces and combinatorial relations between them translate actual twisted homological relations.
Cite
@article{arxiv.2405.06982,
title = {Quantum groups from homologies of configuration spaces},
author = {Stephen Bigelow and Jules Martel},
journal= {arXiv preprint arXiv:2405.06982},
year = {2024}
}
Comments
46p. many figures