An Introduction to Dirac Operators on Manifolds
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The work An Introduction to Dirac Operators on Manifolds represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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An Introduction to Dirac Operators on Manifolds
Resource Information
The work An Introduction to Dirac Operators on Manifolds represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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 An Introduction to Dirac Operators on Manifolds
 Statement of responsibility
 by Jan Cnops
 Language

 eng
 eng
 Summary
 Dirac operators play an important role in several domains of mathematics and physics, for example: index theory, elliptic pseudodifferential operators, electromagnetism, particle physics, and the representation theory of Lie groups. In this essentially selfcontained work, the basic ideas underlying the concept of Dirac operators are explored. Starting with Clifford algebras and the fundamentals of differential geometry, the text focuses on two main properties, namely, conformal invariance, which determines the local behavior of the operator, and the unique continuation property dominating its global behavior. Spin groups and spinor bundles are covered, as well as the relations with their classical counterparts, orthogonal groups and Clifford bundles. The chapters on Clifford algebras and the fundamentals of differential geometry can be used as an introduction to the above topics, and are suitable for senior undergraduate and graduate students. The other chapters are also accessible at this level so that this text requires very little previous knowledge of the domains covered. The reader will benefit, however, from some knowledge of complex analysis, which gives the simplest example of a Dirac operator. More advanced readersmathematical physicists, physicists and mathematicians from diverse areaswill appreciate the fresh approach to the theory as well as the new results on boundary value theory
 Dewey number
 515.9
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 DlRXv4mkFc4
 Image bit depth
 0
 Language note
 English
 LC call number
 QA331355
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Progress in Mathematical Physics,
 Series volume
 24
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