Share

Supermanifolds

2007 Mathematics
Download Supermanifolds PDF Online Free

Author :
Release : 2007
Genre : Mathematics
Kind : eBook
Book Rating : 855/5 ( reviews)

GET EBOOK


Book Synopsis Supermanifolds by : Alice Rogers

Download or read book Supermanifolds written by Alice Rogers. This book was released on 2007. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to fill the gap in the available literature on supermanifolds, describing the different approaches to supermanifolds together with various applications to physics, including some which rely on the more mathematical aspects of supermanifold theory. The first part of the book contains a full introduction to the theory of supermanifolds, comparing and contrasting the different approaches that exist. Topics covered include tensors on supermanifolds, super fibre bundles, super Lie groups and integration theory. Later chapters emphasise applications, including the superspace approach to supersymmetric theories, super Riemann surfaces and the spinning string, path integration on supermanifolds and BRST quantization.

Supermanifolds

1984 Science
Download Supermanifolds PDF Online Free

Author :
Release : 1984
Genre : Science
Kind : eBook
Book Rating : 762/5 ( reviews)

GET EBOOK


Book Synopsis Supermanifolds by : Bryce Dewitt

Download or read book Supermanifolds written by Bryce Dewitt. This book was released on 1984. Available in PDF, EPUB and Kindle. Book excerpt: This book presents 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. The exposition opens with the theory of analysis over supernumbers (Grassmann variables), Berezin integration, supervector spaces and the superdeterminant. This basic material is then applied to the theory of supermanifolds, with an account of the super-analog of Lie derivatives, connections, metrics, 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 final chapter contains an account of the Peierls bracket for superclassical dynamical systems, super Hilbert spaces, path integration for fermionic quantum systems, and simple models of Bose-Fermi supersymmetry. Many exercises are included to supplement the material in the text.

Supermanifolds

1992-05-28 Mathematics
Download Supermanifolds PDF Online Free

Author :
Release : 1992-05-28
Genre : Mathematics
Kind : eBook
Book Rating : 779/5 ( reviews)

GET EBOOK


Book Synopsis Supermanifolds by : Bryce Seligman DeWitt

Download or read book Supermanifolds written by Bryce Seligman DeWitt. This book was released on 1992-05-28. Available in PDF, EPUB and Kindle. Book excerpt: This updated and expanded second edition of an established text presents 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 Geometry of Supermanifolds

2012-12-06 Mathematics
Download The Geometry of Supermanifolds PDF Online Free

Author :
Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 045/5 ( reviews)

GET EBOOK


Book Synopsis The Geometry of Supermanifolds by : C. Bartocci

Download or read book The Geometry of Supermanifolds written by C. Bartocci. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: '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.

Geometric Integration Theory on Supermanifolds

1991 Mathematics
Download Geometric Integration Theory on Supermanifolds PDF Online Free

Author :
Release : 1991
Genre : Mathematics
Kind : eBook
Book Rating : 993/5 ( reviews)

GET EBOOK


Book Synopsis Geometric Integration Theory on Supermanifolds by : T. Voronov

Download or read book Geometric Integration Theory on Supermanifolds written by T. Voronov. This book was released on 1991. Available in PDF, EPUB and Kindle. Book excerpt: The author presents the first detailed and original account of his theory of forms on supermanifolds-a correct and non-trivial analogue of Cartan-de Rham theory based on new concepts. The paper develops the apparatus of supermanifold differential topology necessary for the integration theory. A key feature is the identification of a class of proper morphisms intimately connected with Berezin integration, which are of fundamental importance in various problems. The work also contains a condensed introduction to superanalysis and supermanifolds, free from algebraic formalism, which sets out afresh such challenging problems as the Berezin intgegral on a bounded domain.

You may also like...