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De Renzi, Marco (2021). Extended TQFTs From Non-Semisimple Modular Categories. Indiana University Mathematics Journal, 70(5):1769-1811.
We construct 3-dimensional once-Extended Topological Quantum Field Theories (ETQFTs for short) out of (possibly non-semisimple) modular categories, and we explicitly identify linear categories and functors in their image. The circle category of an ETQFT produced by our construction is equivalent to the full subcategory of projective objects of the underlying modular category. In particular, it need not be semisimple.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Language: | English |
| Date: | 2021 |
| Deposited On: | 22 Dec 2021 16:46 |
| Last Modified: | 26 Dec 2024 02:39 |
| Publisher: | Indiana University, Department of Mathematics |
| ISSN: | 0022-2518 |
| OA Status: | Closed |
| Free access at: | Publisher DOI. An embargo period may apply. |
De Renzi, Marco