C. Bartocci, U. Bruzzo, Daniel Hernández-Ruipérez

The Geometry of Supermanifolds

• Gebundenes Buch

Produktbeschreibung

'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.

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Produktdetails

• Mathematics and Its Applications 71
• Verlag: Springer / Springer Netherlands
• Artikelnr. des Verlages: 978-0-7923-1440-0
• 1991.
• Seitenzahl: 264
• Erscheinungstermin: 31. Oktober 1991
• Englisch
• Abmessung: 241mm x 160mm x 19mm
• Gewicht: 553g
• ISBN-13: 9780792314400
• ISBN-10: 0792314409
• Artikelnr.: 21136572

Inhaltsangabe

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.