The Geometry of Supermanifolds

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Author(s): Claudio Bartocci, Ugo Bruzzo, Daniel Hernández-Ruipérez (auth.)
Series: Mathematics and Its Applications 71
Edition: 1
Publisher: Springer Netherlands
Year: 1991

Language: English
Pages: 242
Tags: Global Analysis and Analysis on Manifolds;Theoretical, Mathematical and Computational Physics;Differential Geometry

Front Matter....Pages i-xix
Elements of graded algebra....Pages 1-18
Sheaves and cohomology....Pages 19-53
Categories of supermanifolds....Pages 55-91
Basic geometry of G-supermanifolds....Pages 93-142
Cohomology of supermanifolds....Pages 143-157
Geometry of supervector bundles....Pages 159-189
Lie supergroups and principal superfibre bundles....Pages 191-228
Back Matter....Pages 229-242