On Examples and Classification of Frobenius Objects in Rel
Category Theory
2022-09-01 v1 Mathematical Physics
Algebraic Topology
math.MP
Abstract
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 conjugacy classes of a group. We also classify Frobenius objects in with two or three elements, and we compute the associated surface invariants using the partition functions of the corresponding TQFTs.
Cite
@article{arxiv.2208.14716,
title = {On Examples and Classification of Frobenius Objects in Rel},
author = {Ivan Contreras and Adele Long and Sophia Marx and Rajan Amit Mehta},
journal= {arXiv preprint arXiv:2208.14716},
year = {2022}
}
Comments
18 pages, 3 figures, 4 tables