English

Non-semisimple quantum invariants and abelian classical shadows

Geometric Topology 2023-11-07 v1

Abstract

Using the UqHsl2U_q^Hsl_2 non-semisimple invariants of 3-manifolds at odd roots of unity, we construct maps on the Kauffman bracket skein module at roots of unity of order twice an odd number, having any possible abelian non central character as classical shadow.

Keywords

Cite

@article{arxiv.2311.03258,
  title  = {Non-semisimple quantum invariants and abelian classical shadows},
  author = {Renaud Detcherry},
  journal= {arXiv preprint arXiv:2311.03258},
  year   = {2023}
}
R2 v1 2026-06-28T13:12:53.683Z