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Supermanifolds: Theory and Applications
 
 
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Supermanifolds: Theory and Applications [Hardcover]

A. Rogers (Author)

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Book Description

9810212283 978-9810212285 April 18, 2007
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.

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Editorial Reviews

Review

A book written in a relaxed and friendly manner, that moreover, tries to appeal to both, physicists and mathematicians, by using their specific parlance at various parts. As already said, a concise, but at the same time reasonably complete, exposition of the basics of supermanifold theory. A concise but up-to-date account of some of the main applications -- both to physics and mathematics -- of supermanifold theory ... A quite extensive bibliography. -- Mathematical Reviews

A book written in a relaxed and friendly manner, that moreover, tries to appeal to both, physicists and mathematicians, by using their specific parlance at various parts. As already said, a concise, but at the same time reasonably complete, exposition of the basics of supermanifold theory. A concise but up-to-date account of some of the main applications -- both to physics and mathematics -- of supermanifold theory ... A quite extensive bibliography. --Mathematical Reviews

Review

The book discusses many geometric ideas on supermanifolds and their applications to physics, and the reviewer believes that it will be the standard reference in the theory of supermanifolds for decades.

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Inside This Book (learn more)
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
super basis, super mathematics, supersymmetric physics, supermoduli space, supermanifold structure, super commutative algebra, super curves, supermanifold theory, super matrices, odd vector field, symplectic supermanifold, super bundle, super derivation, super vector space, supersymmetry group, super form, super matrix, true phase space, super setting, anticommuting variables, superspace formulation, vector space homomorphism, coordinate neighbourhood, super algebra, spinning string
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Bochner Laplacian, Hodge de Rham, Laplace Beltrami, Wess Zumino
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