Higher categories of push-pull spans, II: Matrix factorizations
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866910222462746624 |
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| author | Riva, Lorenzo |
| author_facet | Riva, Lorenzo |
| contents | This is the second part of a project aimed at formalizing Rozansky-Witten models in the functorial field theory framework. In the first part we constructed a symmetric monoidal $(\infty, 3)$-category $\mathscr{CRW}$ of commutative Rozansky-Witten models with the goal of approximating the $3$-category of Kapustin and Rozansky. In this paper we extend work of Brunner, Carqueville, Fragkos, and Roggenkamp on the affine Rozansky-Witten models: we exhibit a functor connecting their $2$-category of matrix factorizations with the homotopy $2$-category of $\mathscr{CRW}$, and calculate the associated TFTs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_00219 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Higher categories of push-pull spans, II: Matrix factorizations Riva, Lorenzo Category Theory Algebraic Topology Quantum Algebra 18N65 This is the second part of a project aimed at formalizing Rozansky-Witten models in the functorial field theory framework. In the first part we constructed a symmetric monoidal $(\infty, 3)$-category $\mathscr{CRW}$ of commutative Rozansky-Witten models with the goal of approximating the $3$-category of Kapustin and Rozansky. In this paper we extend work of Brunner, Carqueville, Fragkos, and Roggenkamp on the affine Rozansky-Witten models: we exhibit a functor connecting their $2$-category of matrix factorizations with the homotopy $2$-category of $\mathscr{CRW}$, and calculate the associated TFTs. |
| title | Higher categories of push-pull spans, II: Matrix factorizations |
| topic | Category Theory Algebraic Topology Quantum Algebra 18N65 |
| url | https://arxiv.org/abs/2409.00219 |