Supermanifolds (Cambridge Monographs on Mathematical Physics) - Image 1

Price loading...

Cambridge University Press Supermanifolds (Cambridge Monographs on Mathematical Physics)

Name: Supermanifolds (Cambridge Monographs on Mathematical Physics)
Brand: Cambridge University Press

Other

Geometry & Topology

Price History & Forecast

No Price Data Available

Price history will appear here once data is collected from Amazon.

Price Distribution

No price data available for histogram

Description

This is 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. 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 super-analogs 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 Bose–Fermi 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 Chern–Gauss–Bonnet formula for the Euler–Poincaré 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.

Product Specifications

Brand: Cambridge University Press
Colour: Other
Format: paperback
ASIN: 0521423775
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Geometry & Topology
Domain: Amazon UK
Release Date: 28 May 1992
Listed Since: 04 January 2007

Barcode

No barcode data available

Cambridge University Press Supermanifolds (Cambridge Monographs on Mathematical Physics)

Price History & Forecast

No Price Data Available

Price Distribution

Description

Product Specifications

Barcode

Similar Products You Might Like

Supermanifolds: Theory And Applications

Supermanifolds: Theory and Applications: THEORY & APPLICATIONS

Supersymmetric Field Theories: Geometric Structures and Dualities

Lie Groups, Lie Algebras (Cambridge Monographs on Mathematical Physics)

Quantum Groups and Related Topics: Proceedings of the First Max Born Symposium: v. 13 (Mathematical Physics Studies)

Introduction to Supergravity and its Applications

Gravity and Strings (Cambridge Monographs on Mathematical Physics)

Minkowski And Conformal Superspaces, The: The Classical And Quantum Descriptions

Supersymmetry, Supergravity, and Unification (Cambridge Monographs on Mathematical Physics)

Harmonic Superspace (Cambridge Monographs on Mathematical Physics)

Geometry, Topology and Physics (Graduate Student Series in Physics)

Grassmannian Geometry of Scattering Amplitudes

LECTURES ON THE GEOMETRY OF MANIFOLDS (2ND EDITION)

Hyperbolic Manifolds: An Introduction in 2 and 3 Dimensions

Quantum Mechanics for Mathematicians (Graduate Studies in Mathematics)

Calabi-yau Manifolds: A Bestiary For Physicists (2nd Edition)

Dualities and Representations of Lie Superalgebras (Graduate Studies in Mathematics)

Geometrical Dynamics of Complex Systems: A Unified Modelling Approach to Physics, Control, Biomechanics, Neurodynamics and Psycho-Socio-Economical ... and Automation: Science and Engineering, 31)

Introduction to Supergravity: 1 (SpringerBriefs in Mathematical Physics, 1)

Symmetries, Lie Algebras & Represen: A Graduate Course for Physicists (Cambridge Monographs on Mathematical Physics)

Advanced Quantum Condensed Matter Physics: One-Body, Many-Body, and Topological Perspectives

Geometry, Topology and Physics (Graduate Student Series in Physics)

Lectures On Advanced Mathematical Methods For Physicists

Physical Mathematics