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On a super Lie group structure for the group of G∞ diffeomorphisms of a compact G∞ supermanifold

✍ Scribed by Joshua A. Leslie

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
479 KB
Volume
24
Category
Article
ISSN
0393-0440

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✦ Synopsis

We show that the group of automorphisms, DG(M), of a compact Rogers" supermanifold, M, admits the structure of a G ~c manifold. We establish that the space of paths on Dc (M) based at the origin and the space of loops at the origin also admit G ~ structures such that we obtain an exact sequence of G ~ groups.

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