A Hermitian TQFT from a non-semisimple category of quantum sl(2)-modules
| Autor: | Bertrand Patureau Mirand, Nathan Geer, Lauda, Aaron D., Joshua Sussan |
|---|---|
| Přispěvatelé: | Patureau Mirand, Bertrand, Laboratoire de Mathématiques de Bretagne Atlantique (LMBA), Université de Bretagne Sud (UBS)-Université de Brest (UBO)-Centre National de la Recherche Scientifique (CNRS) |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Mathematics - Geometric Topology
[MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT] Mathematics::Category Theory Mathematics - Quantum Algebra FOS: Mathematics Quantum Algebra (math.QA) Geometric Topology (math.GT) 57K16 17B37 81R50 18M15 [MATH.MATH-GT] Mathematics [math]/Geometric Topology [math.GT] |
| Zdroj: | HAL |
| Popis: | 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. 18 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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