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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.24887 |
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| _version_ | 1866918267010940928 |
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| author | Marx, Sophia E Mehta, Rajan Amit |
| author_facet | Marx, Sophia E Mehta, Rajan Amit |
| contents | We consider commutative Frobenius pseudomonoids in the bicategory of spans, and we show that they are in correspondence with 2-Segal cosymmetric sets. Such a structure can be interpreted as a coherent 2-dimensional topological quantum field theory taking values in the bicategory of spans. We also describe a construction that produces a 2-Segal cosymmetric set from any partial monoid equipped with a distinguished element. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_24887 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Coherent span-valued 2D TQFTs Marx, Sophia E Mehta, Rajan Amit Algebraic Topology Category Theory 18B10, 18B40, 18C40, 18N50, 57R56 We consider commutative Frobenius pseudomonoids in the bicategory of spans, and we show that they are in correspondence with 2-Segal cosymmetric sets. Such a structure can be interpreted as a coherent 2-dimensional topological quantum field theory taking values in the bicategory of spans. We also describe a construction that produces a 2-Segal cosymmetric set from any partial monoid equipped with a distinguished element. |
| title | Coherent span-valued 2D TQFTs |
| topic | Algebraic Topology Category Theory 18B10, 18B40, 18C40, 18N50, 57R56 |
| url | https://arxiv.org/abs/2512.24887 |