On Nearly Frobenius Structures
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917077569241088 |
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| author | Davis, William Dumitrescu, Olivia |
| author_facet | Davis, William Dumitrescu, Olivia |
| contents | Nearly Frobenius structures and 2-dimensional Almost TQFTs were introduced and shown to be in categorical equivalence in arXiv:1907.05470 in the attempt to extend the Atiyah-Segal's definition to the category of infinite dimensional vector spaces. In this paper, we investigate nearly Frobenius structures and we give a classification result for Almost TQFTs in dimension 2. In particular, the TQFTs functorial axioms become equivalent to the Edge Contraction/Construction axioms of colored ribbon graphs recently introduced by the authors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_03128 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Nearly Frobenius Structures Davis, William Dumitrescu, Olivia Algebraic Geometry 81T40 (Primary) 14N35, 16S34, 53D45 (Secondary) Nearly Frobenius structures and 2-dimensional Almost TQFTs were introduced and shown to be in categorical equivalence in arXiv:1907.05470 in the attempt to extend the Atiyah-Segal's definition to the category of infinite dimensional vector spaces. In this paper, we investigate nearly Frobenius structures and we give a classification result for Almost TQFTs in dimension 2. In particular, the TQFTs functorial axioms become equivalent to the Edge Contraction/Construction axioms of colored ribbon graphs recently introduced by the authors. |
| title | On Nearly Frobenius Structures |
| topic | Algebraic Geometry 81T40 (Primary) 14N35, 16S34, 53D45 (Secondary) |
| url | https://arxiv.org/abs/2510.03128 |