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Quotient supermanifolds

Published online by Cambridge University Press:  17 April 2009

Claudio Bartocci ,
Ugo Bruzzo ,
Daniel Hernández Ruipérez  and
Vladimir Pestov
Claudio Bartocci
Affiliation:
Dipartimento di Matemaitcs, Università di Genova, via Dodecanesco 35, 16146 Genova, Italy e-mail: bartocci@dima.unige.it
Ugo Bruzzo
Affiliation:
Scuola Internazionale Superiore di Studi Avanzati, via Beirut 2–4, 34014 Trieste, Italy e-mail: bruzzo@sissa.it
Daniel Hernández Ruipérez
Affiliation:
Departamento de Matemática Pura y Aplicada, Universidad de Salamanca, Plaza de la Merced 1-4, 37008 Salamanca, Spain e-mail: ruiperez@gugu.usal.es
Vladimir Pestov
Affiliation:
School of Mathematical and Computing Sciences, Victoria University of Wellington, PO Box 600, Wellington, New Zealand e-mail: vladimir.pestov@vuw.ac.nz
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Abstract

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A necessary and sufficient condition for the existence of a supermanifold structure on a quotient defined by an equivalence relation is established. Furthermore, we show that an equivalence relation R on a Berezin-Leĭtes-Kostant supermanifold X determines a quotient supermanifold X/R if and only if the restriction R0 of R to the underlying smooth manifold X0 of X determines a quotient smooth manifold X0/R0.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 58 , Issue 1 , August 1998 , pp. 107 - 120
Copyright
Copyright © Australian Mathematical Society 1998

References

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