On examples and classification of Frobenius objects in Rel
Ivan Contreras,
Adele Long,
Sophia Marx
et al.
Abstract:We give some new examples of Frobenius objects in the category of sets and relations
R
e
l
\mathbf {Rel}
. 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
R
e
l
\mathbf {Rel}
with two or three elements, and we compute the associated surface invariants using the partition functions of the corresponding topological quantum field theo… Show more
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