Coherent span-valued 2D TQFTs
Algebraic Topology
2026-01-01 v1 Category Theory
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.
Cite
@article{arxiv.2512.24887,
title = {Coherent span-valued 2D TQFTs},
author = {Sophia E Marx and Rajan Amit Mehta},
journal= {arXiv preprint arXiv:2512.24887},
year = {2026}
}