Invariance Theory

The Heat Equation and the Atiyah-Singer Index Theorem

Inbunden, Engelska, 1994

Av Peter B. Gilkey, USA) Gilkey, Peter B. (University of Oregon, Eugene

4 749 kr

Beställningsvara. Skickas inom 7-10 vardagar

Fri frakt för medlemmar vid köp för minst 249 kr.

This book treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex. Heat equation methods are also used to discuss Lefschetz fixed point formulas, the Gauss-Bonnet theorem for a manifold with smooth boundary, and the geometrical theorem for a manifold with smooth boundary. The author uses invariance theory to identify the integrand of the index theorem for classical elliptic complexes with the invariants of the heat equation.

Produktinformation

Utgivningsdatum1994-12-22
Mått156 x 234 x 35 mm
Vikt1 110 g
SpråkEngelska
SerieStudies in Advanced Mathematics
Antal sidor530
FörlagTaylor & Francis Inc
EAN9780849378744

Mer från samma författare

Spectral Geometry, Riemannian Submersions, and the Gromov-Lawson Conjecture

Peter B. Gilkey, John V. Leahy, JeongHyeong Park

2 379 kr

Asymptotic Formulae in Spectral Geometry

Peter B. Gilkey, USA) Gilkey, Peter B. (University of Oregon, Eugene

3 229 kr

Del 6

Geometric Realizations Of Curvature

Miguel Brozos-vazquez, Peter B Gilkey, Stana Z Nikcevic, Spain) Brozos-vazquez, Miguel (Univ Da Coruna, Usa) Gilkey, Peter B (Univ Of Oregon, Serbia) Nikcevic, Stana Z (Univ Of Belgrade, Miguel Brozos-Vazquez, Peter B. Gilkey, AL MIGUEL BROZOS VAZQUEZ ET, Al Miguel Brozos Vazquez Et

1 789 kr

Del 2

Geometry Of Curvature Homogeneous Pseudo-riemannian Manifolds, The

Peter B Gilkey, Usa) Gilkey, Peter B (Univ Of Oregon, Peter B. Gilkey, GILKEY PETER B

3 219 kr

Geometric Properties Of Natural Operators Defined By The Riemann Curvature Tensor

Peter B Gilkey, Usa) Gilkey, Peter B (Univ Of Oregon, GILKEY PETER B

2 289 kr

Del 28

Geometry Of Spherical Space Form Groups, The

Peter B Gilkey, Usa) Gilkey, Peter B (Univ Of Oregon, Peter B Gilkey, GILKEY PETER B, Gilkey Peter B

3 239 kr

The Geometry of Spherical Space Form Groups

Peter B. Gilkey, GILKEY P B, Peter B Gilkey

1 879 kr

Mer från samma serie

Du kanske också är intresserad av

Asymptotic Formulae in Spectral Geometry

Peter B. Gilkey, USA) Gilkey, Peter B. (University of Oregon, Eugene

3 229 kr

Spectral Geometry, Riemannian Submersions, and the Gromov-Lawson Conjecture

Peter B. Gilkey, John V. Leahy, JeongHyeong Park

2 379 kr

Del 2

Geometry Of Curvature Homogeneous Pseudo-riemannian Manifolds, The

Peter B Gilkey, Usa) Gilkey, Peter B (Univ Of Oregon, Peter B. Gilkey, GILKEY PETER B

3 219 kr

Del 6

Tillhör följande kategorier

Pseudo-Differential Operators Introduction Fourier Transform and Sobolev Spaces Pseudo-Differential Operators on Rm Pseudo-Differential Operators on Manifolds Index of Fredholm Operators Elliptic Complexes Spectral Theory The Heat Equation Local Index Formula Variational Formulas Lefschetz Fixed Point Theorems The Zeta Function The Eta Function Characteristic Classes Introduction Characteristic Classes of Complex Bundles Characteristic Classes of Real Bundles Complex Projective Space Invariance Theory The Gauss-Bonnet Theorem Invariance Theory and Pontrjagin Classes Gauss-Bonnet for Manifolds with Boundary Boundary Characteristic Classes Singer's Question The Index Theorem Introduction Clifford Modules Hirzebruch Signature Formula Spinors The Spin Complex The Riemann-Roch Theorem K-Theory The Atiyah-Singer Index Theorem The Regularity at s = 0 of the Eta Function Lefschetz Fixed Point Formulas Index Theorem for Manifolds with Boundary The Eta Invariant of Locally Flat Bundles Spectral Geometry Introduction Operators of Laplace Type Isospectral Manifolds Non-Minimal Operators Operators of Dirac Type Manifolds with Boundary Other Asymptotic Formulas The Eta Invariant of Spherical Space Forms A Guide to the Literature Acknowledgment Introduction Bibliography Notation

Invariance Theory

The Heat Equation and the Atiyah-Singer Index Theorem

Produktinformation

Mer från samma författare

Spectral Geometry, Riemannian Submersions, and the Gromov-Lawson Conjecture

Asymptotic Formulae in Spectral Geometry

Geometric Realizations Of Curvature

Geometry Of Curvature Homogeneous Pseudo-riemannian Manifolds, The

Geometric Properties Of Natural Operators Defined By The Riemann Curvature Tensor

Geometry Of Spherical Space Form Groups, The

Geometry and Topology

The Geometry of Spherical Space Form Groups

Mer från samma serie

Wavelets and Other Orthogonal Systems

Functional Analysis in Applied Mathematics and Engineering

Harmonic Analysis and Applications

Several Complex Variables and the Geometry of Real Hypersurfaces

CR Manifolds and the Tangential Cauchy Riemann Complex

CR Manifolds and the Tangential Cauchy Riemann Complex

Measure Theory and Fine Properties of Functions

Elementary Introduction to the Theory of Pseudodifferential Operators

Fast Fourier Transforms

Functional Analysis in Applied Mathematics and Engineering

Du kanske också är intresserad av

Asymptotic Formulae in Spectral Geometry

Spectral Geometry, Riemannian Submersions, and the Gromov-Lawson Conjecture

Geometry Of Curvature Homogeneous Pseudo-riemannian Manifolds, The

Geometric Realizations Of Curvature

The Geometry of Spherical Space Form Groups

Functional Analysis in Applied Mathematics and Engineering

First Course on Wavelets

Wavelets and Other Orthogonal Systems

Introduction to Operator Algebras

Wavelets and Other Orthogonal Systems

Tillhör följande kategorier

Innehållsförteckning