Line Bundles Over Families of (SUPER) Riemann Surfaces. II: The Graded Case

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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16 pages, AmSTeX. Requires a style with automatic numbering that is available from the first author. Report # 182/1991

Scientific paper

10.1016/0393-0440(93)90019-B

A relative Picard theory in the context of graded manifolds is introduced. A
Berezinian calculus and a theory of connections over SUSY-curves are
systematically developed, and used to prove a Gauss-Bonnet theorem for line
bundles in that setting and to discuss the validity of a flatness theorem

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