E-Book, Englisch, Band 71, 242 Seiten, eBook
Bartocci / Bruzzo / Hernández-Ruipérez The Geometry of Supermanifolds
1991
ISBN: 978-94-011-3504-7
Verlag: Springer Netherland
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 71, 242 Seiten, eBook
Reihe: Mathematics and Its Applications
ISBN: 978-94-011-3504-7
Verlag: Springer Netherland
Format: PDF
Kopierschutz: 1 - PDF Watermark
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
I: Foundations.- I — Elements of graded algebra.- 1. Graded algebraic structures.- 2. Graded algebras and graded tensor calculus.- 3. Matrices.- II — Sheaves and cohomology.- 1. Presheaves and sheaves.- 2. Sheaf cohomology.- 3. de Rham, Dolbeault, and ?ech cohomologies.- 4. Graded Ringed spaces.- II Supermanifolds.- III — Categories of supermanifolds.- 1. Graded manifolds.- 2. Supersmooth functions.- 3. GH? functions.- 4. G-supermanifolds.- IV — Basic geometry of G-supermanifolds.- 1. Morphisms.- 2. Products.- 3. Super vector bundles.- 4. Graded exterior differential calculus.- 5. Projectable graded vector fields.- 6. DeWitt supermanifolds.- 7. Rothstein’s axiomatics.- V — Cohomology of supermanifolds.- 1. de Rham cohomology of graded manifolds.- 2. Cohomology of graded differential forms.- 3. Cohomology of DeWitt supermanifolds.- 4. Again on the structure of DeWitt supermanifolds.- VI — Geometry of super vector bundles.- 1. Connections.- 2. Super line bundles.- 3. Characteristic classes.- 4. Characteristic classes in terms of curvature forms.- VII — Lie supergroups and principal super fibre bundles.- 1. Lie supergroups.- 2. Lie supergroup actions.- 3. Principal superfibre bundles.- 4. Connections.- 5. Associated super fibre bundles.
