- the
category of
supermanifolds. Lie
supergroups are
examples of
supermanifolds. Batchelor's
theorem states that
every supermanifold is noncanonically...
- In
differential geometry a
Poisson supermanifold is a
differential supermanifold M such that the
supercommutative algebra of
smooth functions over it...
- manifolds,
while supermanifolds are
constructed by
gluing of
sheaves of
supervector spaces.
There are
different types of
supermanifolds.
These are smooth...
-
observation that a
supermanifold is
determined by its ring of
supercommutative smooth functions, and that a
morphism of
supermanifolds corresponds one to...
-
Alice Rogers,
Supermanifolds:
Theory and Applications,
World Scientific (2007) ISBN 978-981-3203-21-1.
Bryce DeWitt,
Supermanifolds,
Cambridge University...
-
supergeometry where they
enter into the
definitions of
graded manifolds,
supermanifolds and superschemes. Let K be a
commutative ring. In most applications...
-
dissertation on The
Structure of
Supermanifolds. In the
theory of
supermanifolds, Batchelor's
theorem states that
every supermanifold can be
realized as a sheaf...
-
particularly supermanifolds,
generalizations of the
manifold concept based on
ideas coming from supersymmetry. She is the
author of the book
Supermanifolds: Theory...
- ISBN 9780201503975. Indices' typo
present in source. DeWitt, B. (1984).
Supermanifolds.
Cambridge University Press. ISBN 0-521-42377-5. Peskin,
Michael E.;...
-
supersymmetry and
supercommutative algebra. Both
graded manifolds and
supermanifolds are
phrased in
terms of
sheaves of
graded commutative algebras. However...
