A Hermitian TQFT from a non-semisimple category of quantum sl(2)-modules
Quantum Algebra
2022-08-03 v1 Geometric Topology
Abstract
We endow a non-semisimple category of modules of unrolled quantum sl(2) with a Hermitian structure. We also prove that the TQFT constructed in arXiv:1202.3553 using this category is Hermitian. This gives rise to projective representations of the mapping class group in the group of indefinite unitary matrices.
Keywords
Cite
@article{arxiv.2108.09242,
title = {A Hermitian TQFT from a non-semisimple category of quantum sl(2)-modules},
author = {Nathan Geer and Aaron D. Lauda and Bertrand Patureau-Mirand and Joshua Sussan},
journal= {arXiv preprint arXiv:2108.09242},
year = {2022}
}
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18 pages