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 it on a Berezin-Leites-Kostant supermanifold X determines a quotient supermanifold X/R if and only if the restriction Ro of R to the underlying smooth manifold Xo of X determines a quotient smooth manifold Xo/Ro.
Quotient supermanifolds / Bartocci, C.; Bruzzo, Ugo; Hernández Ruipérez, D.; Pestov, V.. - In: BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY. - ISSN 0004-9727. - 58:1(1998), pp. 107-120. [10.1017/S0004972700032044]
Quotient supermanifolds
Bruzzo, Ugo;
1998-01-01
Abstract
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 it on a Berezin-Leites-Kostant supermanifold X determines a quotient supermanifold X/R if and only if the restriction Ro of R to the underlying smooth manifold Xo of X determines a quotient smooth manifold Xo/Ro.File in questo prodotto:
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