This is an updated and expanded second edition of a successful and wellreviewed text presenting a detailed exposition of the modern theory of supermanifolds, including a rigorous account of the superanalogs of all the basic structures of ordinary manifold theory. The exposition opens with the theory of analysis over supernumbers (Grassman variables), Berezin integration, supervector spaces and the superdeterminant. This basic material is then applied to the theory of supermanifolds, with an account of superanalogs of Lie derivatives, connections, metric, curvature, geodesics, Killing flows, conformal groups, etc. The book goes on to discuss the theory of super Lie groups, super Lie algebras, and invariant geometrical structures on coset spaces. Complete descriptions are given of all the simple super Lie groups. The book then turns to applications. Chapter 5 contains an account of the Peierals bracket for superclassical dynamical systems, super Hilbert spaces, path integration for fermionic quantum systems, and simple models of BoseFermi supersymmetry. 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 ChernGaussBonnet formula for the EulerPoincare 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.
About Bryce S. DeWitt
Unfortunately, right now we cannot offer you details about this Writer Bryce S. DeWitt. But this doesn't mean that individuals don't work to be with her assortment. In addition we request which you assist us to within this subject. In case you have free time and require will certainly exceptionally take pleasure in when you offer people your information. Any time receiving such suggestions and details from users with regards to the Supermanifolds Founder Bryce S. DeWitt, we 1st her verify. After many of us make certain that almost all true, simply publish that. We see why support along with many thanks ahead of time.Details Book
Author  :  Bryce S. DeWitt 
Publisher  :  Cambridge University Press 
Data Published  :  28 May 1992 
ISBN  :  0521423775 
EAN  :  9780521423779 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  428 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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