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arXiv · 2512.24887

Coherent span-valued 2D TQFTs

Sophia E Marx·Rajan Amit Mehta
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Abstract

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.

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Sophia E Marx, Rajan Amit Mehta. 2025-12-31. Coherent span-valued 2D TQFTs. https://arxiv.org/abs/2512.24887

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