Introduction to Symplectic Dirac Operators

Name: Introduction to Symplectic Dirac Operators
Brand: Springer, Berlin
SKU: 9783540334200
Price: 803 CZK
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Autor: Katharina Habermann, Lutz Habermann

Jazyk:

Vazba: Brožovaná

Vydavatel: Springer, Berlin

Dostupnost: Skladem u dodavatele

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This volume is the first one that gives a systematic and self-contained introduction to the theory o...

Informace o knize

Autor

Katharina Habermann, Lutz Habermann

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

2006

Stránek

125

EAN

9783540334200

ISBN

3540334203

Enbook ID

01561919

Vydavatel

Springer, Berlin

Hmotnost

225

Rozměry

157 x 236 x 10

Kompletní popis

This volume is the first one that gives a systematic and self-contained introduction to the theory of symplectic Dirac operators and reflects the current state of the subject. At the same time, it is intended to establish the idea that symplectic spin geometry and symplectic Dirac operators may give valuable tools in symplectic geometry and symplectic topology, which have become important fields and very active areas of mathematical research.One of the basic ideas in differential geometry is that the study of analytic properties of certain differential operators acting on sections of vector bundles yields geometric and topological properties of the underlying base manifold. Symplectic spinor fields are sections in an L^2-Hilbert space bundle over a symplectic manifold and symplectic Dirac operators, acting on symplectic spinor fields, are associated to the symplectic manifold in a very natural way. Hence they may be expected to give interesting applications in symplectic geometry and symplectic topology. These symplectic Dirac operators are called Dirac operators, since they are defined in an analogous way as the classical Riemannian Dirac operator known from Riemannian spin geometry. They are called symplectic because they are constructed by use of the symplectic setting of the underlying symplectic manifold. This volume is the first one that gives a systematic and self-contained introduction to the theory of symplectic Dirac operators and reflects the current state of the subject. At the same time, it is intended to establish the idea that symplectic spin geometry and symplectic Dirac operators may give valuable tools in symplectic geometry and symplectic topology, which have become important fields and very active areas of mathematical research.

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