The Geometry of Supermanifolds

'Et moi, ... si favait III mmment en revenir, One service mathematics has rendered the je n'y serais point aile:' human race. It has put CXlUImon sense back Iules Verne where it belongs. on the topmost shelf next to the dUlty canister lahelled 'discarded non- The series i. divergent; therefore we may be able to do something with it. Eric T. Bell O. Hesvi.ide Mathematics is a tool for thOUght. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d't!tre of this series.

List of contents

I: Foundations.- I - Elements of graded algebra.- II - Sheaves and cohomology.- II Supermanifolds.- III - Categories of supermanifolds.- IV - Basic geometry of G-supermanifolds.- V - Cohomology of supermanifolds.- VI - Geometry of super vector bundles.- VII - Lie supergroups and principal super fibre bundles.

Product details

• Authors: Bartocci, C Bartocci, C. Bartocci, Claudio Bartocci, Bruzzo, U Bruzzo, U. Bruzzo, Ugo Bruzzo, Daniel Hernández-Ruipérez
• Publisher: Springer Netherlands
• Languages: English
• Product format: Hardback
• Released: 29.06.2009
• EAN: 9780792314400
• ISBN: 978-0-7923-1440-0
• No. of pages: 242
• Weight: 553 g
• Illustrations: XIX, 242 p.
• Series: Mathematics and Its Applications; Mathematics and Its Applications
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Analysis