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Heat Kernels and Dirac Operators

2003-12-08 Mathematics
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Release : 2003-12-08
Genre : Mathematics
Kind : eBook
Book Rating : 628/5 ( reviews)

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Book Synopsis Heat Kernels and Dirac Operators by : Nicole Berline

Download or read book Heat Kernels and Dirac Operators written by Nicole Berline. This book was released on 2003-12-08. Available in PDF, EPUB and Kindle. Book excerpt: In the first edition of this book, simple proofs of the Atiyah-Singer Index Theorem for Dirac operators on compact Riemannian manifolds and its generalizations (due to the authors and J.-M. Bismut) were presented, using an explicit geometric construction of the heat kernel of a generalized Dirac operator; the new edition makes this popular book available to students and researchers in an attractive paperback.

Dirac Operators, Heat Kernels and Micrrorlocal Analysis

1997
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Release : 1997
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Dirac Operators, Heat Kernels and Micrrorlocal Analysis by : Rafe Mazzeo

Download or read book Dirac Operators, Heat Kernels and Micrrorlocal Analysis written by Rafe Mazzeo. This book was released on 1997. Available in PDF, EPUB and Kindle. Book excerpt:

Aspects of Boundary Problems in Analysis and Geometry

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 508/5 ( reviews)

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Book Synopsis Aspects of Boundary Problems in Analysis and Geometry by : Juan Gil

Download or read book Aspects of Boundary Problems in Analysis and Geometry written by Juan Gil. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Boundary problems constitute an essential field of common mathematical interest, they lie in the center of research activities both in analysis and geometry. This book encompasses material from both disciplines, and focuses on their interactions which are particularly apparent in this field. Moreover, the survey style of the contributions makes the topics accessible to a broad audience with a background in analysis or geometry, and enables the reader to get a quick overview.

Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds

2005 Mathematics
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Release : 2005
Genre : Mathematics
Kind : eBook
Book Rating : 36X/5 ( reviews)

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Book Synopsis Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds by : Gerd Grubb

Download or read book Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds written by Gerd Grubb. This book was released on 2005. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, increasingly complex methods have been brought into play in the treatment of geometric and topological problems for partial differential operators on manifolds. This collection of papers, resulting from a Workshop on Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds, provides a broad picture of these methods with new results. Subjects in the book cover a wide variety of topics, from recent advances in index theory and the more general boundary, to applications of those invariants in geometry, topology, and physics. Papers are grouped into four parts: Part I gives an overview of the subject from various points of view. Part II deals with spectral invariants, such as geometric and topological questions. Part IV deals specifically with problems on manifolds with singularities. The book is suitable for graduate students and researchers interested in spectral problems in geometry.

Algebraic and Analytic Microlocal Analysis

2018-12-19 Mathematics
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Release : 2018-12-19
Genre : Mathematics
Kind : eBook
Book Rating : 882/5 ( reviews)

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Book Synopsis Algebraic and Analytic Microlocal Analysis by : Michael Hitrik

Download or read book Algebraic and Analytic Microlocal Analysis written by Michael Hitrik. This book was released on 2018-12-19. Available in PDF, EPUB and Kindle. Book excerpt: This book presents contributions from two workshops in algebraic and analytic microlocal analysis that took place in 2012 and 2013 at Northwestern University. Featured papers expand on mini-courses and talks ranging from foundational material to advanced research-level papers, and new applications in symplectic geometry, mathematical physics, partial differential equations, and complex analysis are discussed in detail. Topics include Procesi bundles and symplectic reflection algebras, microlocal condition for non-displaceability, polarized complex manifolds, nodal sets of Laplace eigenfunctions, geodesics in the space of Kӓhler metrics, and partial Bergman kernels. This volume is a valuable resource for graduate students and researchers in mathematics interested in understanding microlocal analysis and learning about recent research in the area.

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