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Index Theory, Eta Forms, and Deligne Cohomology

. In this way he develops an inductive procedure to associate Fredholm operators to Dirac operators on manifolds with corners and develops the;

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Heat Kernels and Dirac Operators

generalized Dirac operator; the new edition makes this popular book available to students and researchers in an attractive paperback.;

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An Introduction to Dirac Operators on Manifolds

The chapters on Clifford algebra and differential geometry can be used as an introduction to the topics, and are suitable for senior;

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Dirac Operators Yesterday and Today

. An introduction to all necessary background material to begin research in Dirac operators is presented including elementary differential;

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Covariant Schroedinger Semigroups on Riemannian Manifolds

This monograph discusses covariant Schroedinger operators and their heat semigroups on noncompact Riemannian manifolds and aims to fill a;

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The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds. (MN-44), Volume 44

introduction to the Seiberg-Witten invariants. The work begins with a review of the classical material on Spin c structures and their associated Dirac;

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Smooth Manifolds and Observables

This book gives an introduction to fiber spaces and differential operators on smooth manifolds. Over the last 20 years, the authors;

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Global Riemannian Geometry

the application of the Lichnerowicz formula for Dirac operators to the study of Gromov's invariants to measure the K-theoretic size of a;

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Stochastic Analysis on Manifolds

and the Atiyah-Singer index theorem for Dirac operators. The book concludes with an introduction to stochastic analysis on the path space;

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Differential Operators on Manifolds

Lectures: M.F. Atiyah: Classical groups and classical differential operators on manifolds.- R. Bott: Some aspects of invariant theory;

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Geometric Multivector Analysis

, as well as researchers in mathematics interested in an introduction to geometric analysis.;

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A Brief Introduction to Berezin Toeplitz Operators on Compact Kaehler Manifolds

This text provides a comprehensive introduction to Berezin-Toeplitz operators on compact Kahler manifolds. The heart of the book is devoted;

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A Brief Introduction to Berezin-Toeplitz Operators on Compact Kahler Manifolds

This text provides a comprehensive introduction to Berezin-Toeplitz operators on compact Kahler manifolds. The heart of the book is devoted;

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Prospects in Topology (AM-138), Volume 138

of Dirac operators in smoothing theory, a discussion of the stable topology of 4-manifolds, an answer to the famous question about symmetries;

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Relative Index Theory, Determinants And Torsion For Open Manifolds

differential operators. On open manifolds, nearly all of this fails, with the exception of some special classes. The goal of this monograph is to;

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SemiRiemannian Geometry The Mathematical Language of General Relativity

An introduction to semi-Riemannian geometry as a foundation for general relativity Semi-Riemannian Geometry: The Mathematical Language;

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Analysis on Real and Complex Manifolds

, Sard's theorem and Whitney's approximation theorem. The next chapter is an introduction to real and complex manifolds. It contains an;

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Clifford Algebras and Dirac Operators in Harmonic Analysis

The aim of this book is to unite the seemingly disparate topics of Clifford algebras, analysis on manifolds and harmonic analysis. The;

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Clifford Algebras and Dirac Operators in Harmonic Analysis

The aim of this book is to unite the seemingly disparate topics of Clifford algebras, analysis on manifolds and harmonic analysis. The;

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Foliations: Dynamics, Geometry And Topology

an introduction to Foliation Theory with emphasis on examples and transverse structures. Steven Hurder's lectures apply ideas from smooth;

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Relativistic Wave Mechanics

mechanics that has been further amplified by student contributions.An introductory section related to particles and wave functions precedes;

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Introduction to Quantum Mechanics 2

mean value of an observable are introduced. The book goes on to investigate the study of conservative systems through the time evolution;

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The d-bar Neumann Problem and Schrödinger Operators

minimal prerequisites required, this book provides a systematic introduction to an active area of research for both students at a bachelor level;

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Space-Time-Matter

manifolds with special holonomy - Constructions and global properties Contributions to the spectral geometry of locally homogeneous spaces On;

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Inverse Spectral and Scattering Theory

in order to make the book accessible to graduate students as an introduction to partial differential equations (PDEs) and functional analysis.;

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Elliptic Theory on Singular Manifolds

on manifolds with singularities, and devotes considerable attention to applications of the theory. These include Sobolev problems, theorems;

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Elliptic Theory on Singular Manifolds

on manifolds with singularities, and devotes considerable attention to applications of the theory. These include Sobolev problems, theorems;

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