Biextensions , bimonoidal functors , multilinear functor calculus , and categorical rings

@inproceedings{Aldrovandi2015BiextensionsB,
  title={Biextensions , bimonoidal functors , multilinear functor calculus , and categorical rings},
  author={Ettore Aldrovandi},
  year={2015}
}
  • Ettore Aldrovandi
  • Published 2015
We associate to a bimonoidal functor, i.e. a bifunctor which is monoidal in each variable, a nonabelian version of a biextension. We show that such a biextension satisfies additional triviality conditions which make it a bilinear analog of the kind of spans known as butterflies and, conversely, these data determine a bimonoidal functor. We extend this result to n-variables, and prove that, in a manner analogous to that of butterflies, these multi-extensions can be composed. This is phrased in… CONTINUE READING