A convenient definition of a new category of supermanifolds is given in order to have a well-behaved category of super vector bundles. It is shown that the existence of a connection on a super vector bunde is equivalent to the vanishing of a cohomological invariant.
Foundations of super vector bundles
BARTOCCI, CLAUDIO
1989-01-01
Abstract
A convenient definition of a new category of supermanifolds is given in order to have a well-behaved category of super vector bundles. It is shown that the existence of a connection on a super vector bunde is equivalent to the vanishing of a cohomological invariant.
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