| 书目名称 | Introduction to Symplectic Dirac Operators |
| 编辑 | Katharina Habermann,Lutz Habermann |
| 视频video | |
| 概述 | Katharina Habermann is awarded by the "Gerhard Hess Preis 2000" – a research prize of the German Research Foundation (DFG) for excellent young researchers.Includes supplementary material: |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | .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 |
| 出版日期 | Book 2006 |
| 关键词 | Area; Fourier transform; Volume; differential geometry; manifold; symplectic Dirac operators; symplectic g |
| 版次 | 1 |
| doi | https://doi.org/10.1007/b138212 |
| isbn_softcover | 978-3-540-33420-0 |
| isbn_ebook | 978-3-540-33421-7Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 2006 |
发表于 2025-3-21 17:21:39
