Geometric Integration Theory on Supermanifolds
Author: T. Voronov
Publisher: CRC Press
Published: 1991
Total Pages: 152
ISBN-13: 9783718651993
DOWNLOAD EBOOKThe 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.