Description

Book Synopsis
For a Riemannian manifold $M$, the geometry, topology and analysis are interrelated in ways that are widely explored in modern mathematics. This book examines the Dirac operator on Riemannian manifolds, especially its connection with the underlying geometry and topology of the manifold.

Table of Contents
Clifford algebras and spin representation Spin structures Dirac operators Analytical properties of Dirac operators Eigenvalue estimates for the Dirac operator and twistor spinors Seiberg-Witten invariants Principal bundles and connections Bibliography Index.

Dirac Operators in Riemannian Geometry

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    A Hardback by American Mathem American Mathem

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      View other formats and editions of Dirac Operators in Riemannian Geometry by American Mathem American Mathem

      Publisher: MP-AMM American Mathematical
      Publication Date: 8/30/2000 12:00:00 AM
      ISBN13: 9780821820551, 978-0821820551
      ISBN10: 0821820559

      Description

      Book Synopsis
      For a Riemannian manifold $M$, the geometry, topology and analysis are interrelated in ways that are widely explored in modern mathematics. This book examines the Dirac operator on Riemannian manifolds, especially its connection with the underlying geometry and topology of the manifold.

      Table of Contents
      Clifford algebras and spin representation Spin structures Dirac operators Analytical properties of Dirac operators Eigenvalue estimates for the Dirac operator and twistor spinors Seiberg-Witten invariants Principal bundles and connections Bibliography Index.

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