Leibniz Group Seminar | May 22, 10:15
Automorphism supergroups of supermanifolds
We introduce the notion of a G-structure on a supermanifold
M and indicate a proof that the automorphisms of such a structure
constitute a Lie supergroup, provided it is of finite type. This relies
on a representability criterion for subsheaves of certain representable
sheaves on supermanifolds. Examples include the cases of even and odd
Riemannian metrics as well as G-structures (G a suitable Poincare
supergroup) on spinor supermanifolds as constructed by Cortes et al.
Universität Köln
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