Overview
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. 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.
Full Product Details
Author: Katharina Habermann ,
Lutz Habermann
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition: 2006 ed.
Volume: 1887
Dimensions:
Width: 15.50cm
, Height: 1.00cm
, Length: 23.50cm
Weight: 0.454kg
ISBN: 9783540334200
ISBN 10: 3540334203
Pages: 125
Publication Date: 26 July 2006
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Paperback
Publisher's Status: Active
Availability: Out of stock
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.
Reviews
From the reviews: The book starts with an introductory chapter which contains the background on symplectic spinors ! . The book will be of interest to researchers working on symplectic geometry and /or symplectic topology, and in physicists interested to quantization. (Aurel Bejancu, Zentralblatt MATH, Vol. 1102 (4), 2007)
From the reviews: <p> The book starts with an introductory chapter which contains the background on symplectic spinors a ] . The book will be of interest to researchers working on symplectic geometry and /or symplectic topology, and in physicists interested to quantization. (Aurel Bejancu, Zentralblatt MATH, Vol. 1102 (4), 2007)
Author Information
Katharina Habermann is awarded by the ""Gerhard Hess Preis 2000"" -- a research prize of the German Research Foundation (DFG) for excellent young researchers.
