Geometric Integration Theory on Supermanifolds PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Geometric Integration Theory on Supermanifolds PDF full book. Access full book title Geometric Integration Theory on Supermanifolds by T. Voronov. Download full books in PDF and EPUB format.
Author: T. Voronov Publisher: CRC Press ISBN: 9783718651993 Category : Mathematics Languages : en Pages : 152
Book Description
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.
Author: T. Voronov Publisher: CRC Press ISBN: 9783718651993 Category : Mathematics Languages : en Pages : 152
Book Description
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.
Author: Alice Rogers Publisher: World Scientific ISBN: 9812708855 Category : Mathematics Languages : en Pages : 262
Book Description
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.
Author: Hassler Whitney Publisher: Courier Corporation ISBN: 048615470X Category : Mathematics Languages : en Pages : 402
Book Description
Geared toward upper-level undergraduates and graduate students, this treatment of geometric integration theory consists of an introduction to classical theory, a postulational approach to general theory, and a section on Lebesgue theory. 1957 edition.
Author: Alice Rogers Publisher: World Scientific ISBN: 981450503X Category : Science Languages : en Pages : 264
Book Description
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. Contents:Super AlgebrasSuperspaceFunctions of Anticommuting VariablesSupermanifolds: The Concrete ApproachFunctions and Vector FieldsSupermanifolds: The Algebro-Geometric ApproachThe Structure of SupermanifoldsSuper Lie GroupsTensors and FormsIntegration on SupermanifoldsGeometric Structures on SupermanifoldsSupermanifolds and Supersymmetric TheoriesSuper Riemann SurfacesPath Integrals on SupermanifoldsSupermanifolds and BRST QuantizationSupermanifolds and Geometry Readership: Mathematicians and theoretical physicists. keywords: “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 “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.” Zentralblatt MATH
Author: C. Bartocci Publisher: Springer Science & Business Media ISBN: 9401135045 Category : Mathematics Languages : en Pages : 255
Book Description
'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.
Author: Steven G. Krantz Publisher: Springer Science & Business Media ISBN: 0817646795 Category : Mathematics Languages : en Pages : 340
Book Description
This textbook introduces geometric measure theory through the notion of currents. Currents, continuous linear functionals on spaces of differential forms, are a natural language in which to formulate types of extremal problems arising in geometry, and can be used to study generalized versions of the Plateau problem and related questions in geometric analysis. Motivating key ideas with examples and figures, this book is a comprehensive introduction ideal for both self-study and for use in the classroom. The exposition demands minimal background, is self-contained and accessible, and thus is ideal for both graduate students and researchers.
Author: Enno Keßler Publisher: Springer Nature ISBN: 3030137589 Category : Mathematics Languages : en Pages : 305
Book Description
This book treats the two-dimensional non-linear supersymmetric sigma model or spinning string from the perspective of supergeometry. The objective is to understand its symmetries as geometric properties of super Riemann surfaces, which are particular complex super manifolds of dimension 1|1. The first part gives an introduction to the super differential geometry of families of super manifolds. Appropriate generalizations of principal bundles, smooth families of complex manifolds and integration theory are developed. The second part studies uniformization, U(1)-structures and connections on Super Riemann surfaces and shows how the latter can be viewed as extensions of Riemann surfaces by a gravitino field. A natural geometric action functional on super Riemann surfaces is shown to reproduce the action functional of the non-linear supersymmetric sigma model using a component field formalism. The conserved currents of this action can be identified as infinitesimal deformations of the super Riemann surface. This is in surprising analogy to the theory of Riemann surfaces and the harmonic action functional on them. This volume is aimed at both theoretical physicists interested in a careful treatment of the subject and mathematicians who want to become acquainted with the potential applications of this beautiful theory.
Author: T. Voronov
Author: T. Voronov
Author: Theodore Voronov
Author: Alice Rogers
Author: Hassler Whitney
Author: Alice Rogers
Author: C. Bartocci
Author: Steven G. Krantz
Author: Enno Keßler
Author: P. N. Pyatov
Author: V. M. Buchstaber