supergroupoid

Definition 0.1   A supergroupoid $ (\mathcal{G},\gamma)$ is a groupoid $ \mathcal{G}$ equipped with an involutive automorphism $ \gamma : Id \mathcal{G} \to Id \mathcal{G}$ , that is,

$\displaystyle \gamma \circ \gamma = Id \circ Id \mathcal{G}.$

Bibliography

1
Baez, J. 2006., Categorified Gelfand-Naimark and Vector Bundles with Connection (Preprint)

Remark: A supergroupoid is a particular example of a $ \lq\lq N=1''$ supercategory with all invertible morphisms and an involutive automorphism $ \gamma.$



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