Non-Semisimple TQFT's and BPS -Series
We propose and, in some cases, prove a precise relation between 3-manifold invariants associated with quantum groups at roots of unity and at generic . Both types of invariants are labeled by extra data, which plays an important role in the proposed relation. Bridging the two sides - which until re...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2023 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2023
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211874 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Non-Semisimple TQFT's and BPS -Series. Francesco Costantino, Sergei Gukov and Pavel Putrov. SIGMA 19 (2023), 010, 71 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | We propose and, in some cases, prove a precise relation between 3-manifold invariants associated with quantum groups at roots of unity and at generic . Both types of invariants are labeled by extra data, which plays an important role in the proposed relation. Bridging the two sides - which until recently were developed independently, using very different methods - opens many new avenues. In one direction, it allows us to study (and perhaps even to formulate) -series invariants labeled by spinᶜ structures in terms of non-semisimple invariants. In the opposite direction, it offers new insights and perspectives on various elements of non-semisimple TQFT's, bringing the latter into one unifying framework with other invariants of knots and 3-manifolds that recently found realization in quantum field theory and in string theory.
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| ISSN: | 1815-0659 |