3 papers
math.AT2025
Coherent span-valued 2D TQFTs
Sophia E Marx, Rajan Amit Mehta
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 inter…
math.CT2025
2-Segal sets and pseudomonoids in the bicategory of spans
Sophia E Marx, Rajan Amit Mehta
In this survey article, we give an introduction to the notion of a 2-Segal set and prove that 2-Segal sets are equivalent to pseudomonoids in the bicategory of spans. The proof uti…
math.CT2022
On Examples and Classification of Frobenius Objects in Rel
Ivan Contreras, Adele Long, Sophia Marx +1
We give some new examples of Frobenius objects in the category of sets and relations . One example is a groupoid with a twisted counit. Another example is the set of…