Dirac Operators: Yesterday and Today pdf epub mobi txt 電子書 下載2025
出版者:International Press
作者:Bourguignon, Jean-Pierre etc.
出品人:
頁數:320
译者:
出版時間:
價格:80
裝幀:HRD
isbn號碼:9781571461759
叢書系列:
圖書標籤:
- Dirac operators
- Mathematical physics
- Operator theory
- Spectral theory
- Index theory
- Noncommutative geometry
- Quantum mechanics
- Topology
- Functional analysis
- Representation theory
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具體描述
著者簡介
圖書目錄
Contents:
Part 1. Summer School
H. B. Lawson, Jr. -- Introduction to the Dirac operator
C. Bär -- Introduction to differential manifolds
O. Hijazi -- Clifford algebras and spinor representations
J.-P. Bourguignon -- A brief introduction to Riemannian and spinorial geometries
R. Bryant -- Holonomy and special geometries
R. J. Stanton -- A visit to representation theory
H. B. Lawson, Jr. -- The Atiyah-Singer index theorem and applications
C. Bär -- The spectrum of the Dirac operator
T. Branson -- Conformal structure and spin geometry
A. H. Chamseddine -- A brief introduction to particle interactions
Part 2. Workshop
B. Ammann -- Ambient Dirac eigenvalue estimates and the Willmore functional
H. Baum and F. Leitner -- The geometric structure of Lorentzian manifolds with twistor spinors in low dimension
F. El Chami -- Geometric spectrum of isospectral spherical space forms
A. El Kacimi -- Towards a basic index theory
N. Ginoux -- Reilly-type spinorial inequalities
S. Montiel -- Dirac operators and hypersurfaces
A. Moroianu -- From Kirchberg's inequality to the Goldberg conjecture
Bibliography
· · · · · · (收起)
Part 1. Summer School
H. B. Lawson, Jr. -- Introduction to the Dirac operator
C. Bär -- Introduction to differential manifolds
O. Hijazi -- Clifford algebras and spinor representations
J.-P. Bourguignon -- A brief introduction to Riemannian and spinorial geometries
R. Bryant -- Holonomy and special geometries
R. J. Stanton -- A visit to representation theory
H. B. Lawson, Jr. -- The Atiyah-Singer index theorem and applications
C. Bär -- The spectrum of the Dirac operator
T. Branson -- Conformal structure and spin geometry
A. H. Chamseddine -- A brief introduction to particle interactions
Part 2. Workshop
B. Ammann -- Ambient Dirac eigenvalue estimates and the Willmore functional
H. Baum and F. Leitner -- The geometric structure of Lorentzian manifolds with twistor spinors in low dimension
F. El Chami -- Geometric spectrum of isospectral spherical space forms
A. El Kacimi -- Towards a basic index theory
N. Ginoux -- Reilly-type spinorial inequalities
S. Montiel -- Dirac operators and hypersurfaces
A. Moroianu -- From Kirchberg's inequality to the Goldberg conjecture
Bibliography
· · · · · · (收起)
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