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arXiv · 2108.09242

A Hermitian TQFT from a non-semisimple category of quantum sl(2)-modules

Nathan Geer·Aaron D. Lauda·Bertrand Patureau-Mirand·Joshua Sussan
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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.

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Nathan Geer, Aaron D. Lauda, Bertrand Patureau-Mirand, Joshua Sussan. 2021-08-20. A Hermitian TQFT from a non-semisimple category of quantum sl(2)-modules. https://doi.org/10.1007/s11005-022-01570-x

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