A necessary and sufficient condition for the existence of a supermanifold structure on a quotient defined by equivalence relation is proved. Furthermore, we show that an equivalence relation, R, on a supersmooth Berezin-Leites-Kostant supermanifold (graded manifold), X, determines a quotient supermanifold X/R if and only if the restriction, R_0, of R to the underlying smooth manifold, X_0, of X determines a quotient smooth manifold X_0/R_0.

Quotient supermanifolds

BARTOCCI, CLAUDIO;
1998-01-01

Abstract

A necessary and sufficient condition for the existence of a supermanifold structure on a quotient defined by equivalence relation is proved. Furthermore, we show that an equivalence relation, R, on a supersmooth Berezin-Leites-Kostant supermanifold (graded manifold), X, determines a quotient supermanifold X/R if and only if the restriction, R_0, of R to the underlying smooth manifold, X_0, of X determines a quotient smooth manifold X_0/R_0.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11567/189053
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 3
  • ???jsp.display-item.citation.isi??? 3
social impact