Supermanifolds

Klappentext The sixth and final chapter! which is new in this revised edition! examines dynamical systems for which the topology of the configuration supermanifold is important. A concise but complete account is given of the pathintegral derivation of the Chern Gauss Bonnet formula for the Euler Poincare characteristic of an ordinary manifold! which is based on a simple extension of a point particle moving freely in this manifold to a supersymmetric dynamical system moving in an associated supermanifold. Many exercises are included to complement the text. Zusammenfassung An updated and expanded second edition of a successful and well-reviewed text presenting a detailed exposition of the modern theory of supermanifolds! including a rigorous account of the super-analogs of all the basic structures of ordinary manifold theory. Many exercises are included to complement the text. Inhaltsverzeichnis Preface to the first edition; Preface to the second editin; 1. Analysis over supernumbers; 2. Supermanifolds; 3. Super Lie groups: general theory; 4. Super Lie groups: examples; 5. Selected applications of supermanifold theory; 6. Applications involving topology; References; Index.

Product details

• Authors: Bryce DeWitt, Bryce S. DeWitt
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 28.05.1992
• EAN: 9780521423779
• ISBN: 978-0-521-42377-9
• No. of pages: 428
• Series: Cambridge Monographs on Mathem
• Subject: Natural sciences, medicine, IT, technology > Physics, astronomy > General, dictionaries