Geometric Integration Theory On Supermanifolds
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Geometric Integration Theory on Supermanifolds
Author | : T. Voronov |
Publisher | : CRC Press |
Total Pages | : 152 |
Release | : 1991 |
Genre | : Mathematics |
ISBN | : 9783718651993 |
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The author presents the first detailed and original account of his theory of forms on supermanifolds-a correct and non-trivial analogue of Cartan-de Rham theory based on new concepts. The paper develops the apparatus of supermanifold differential topology necessary for the integration theory. A key feature is the identification of a class of proper morphisms intimately connected with Berezin integration, which are of fundamental importance in various problems. The work also contains a condensed introduction to superanalysis and supermanifolds, free from algebraic formalism, which sets out afresh such challenging problems as the Berezin intgegral on a bounded domain.
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