Graded spherical skein 2+1-G-HQFT and modified Turaev-Viro invariants
Quantum Algebra
2026-03-25 v1 Geometric Topology
Abstract
For G a group, we present a G-graded version of chromatic maps and skein modules and use them to define a 2+1-G-HQFT out of a G-chromatic category. The construction applies to the representations of unrestricted quantum groups at root of unity and recovers the modified Turaev-Viro 3-dimensional invariants.
Cite
@article{arxiv.2603.23440,
title = {Graded spherical skein 2+1-G-HQFT and modified Turaev-Viro invariants},
author = {Francesco Costantino and Nathan Geer and Benjamin Haïoun and Bertrand Patureau-Mirand},
journal= {arXiv preprint arXiv:2603.23440},
year = {2026}
}
Comments
47 pages, many figures. Comments welcome!