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The Reidemeister Torsion of 3-manifolds

The Reidemeister Torsion of 3-manifolds
Author: Liviu I. Nicolaescu
Publisher: Walter de Gruyter
Total Pages: 263
Release: 2003
Genre: Mathematics
ISBN: 3110173832

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This work discusses the theoretical foundations of torsion, one of the oldest topological variants. It presents the work of Reidmeister, Taubes, Turaev and the author, focusing particularly on diverse examples and techniques rather than abstract generalizations.


Introduction to Harmonic Analysis and Generalized Gelfand Pairs

Introduction to Harmonic Analysis and Generalized Gelfand Pairs
Author: Gerrit van Dijk
Publisher: Walter de Gruyter
Total Pages: 234
Release: 2009
Genre: Mathematics
ISBN: 3110220199

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The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob.


Geometry and Analysis on Complex Manifolds

Geometry and Analysis on Complex Manifolds
Author: Toshiki Mabuchi
Publisher: World Scientific
Total Pages: 268
Release: 1994
Genre: Mathematics
ISBN: 9789810220679

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This volume presents papers dedicated to Professor Shoshichi Kobayashi, commemorating the occasion of his sixtieth birthday on January 4, 1992.The principal theme of this volume is “Geometry and Analysis on Complex Manifolds”. It emphasizes the wide mathematical influence that Professor Kobayashi has on areas ranging from differential geometry to complex analysis and algebraic geometry. It covers various materials including holomorphic vector bundles on complex manifolds, Kähler metrics and Einstein–Hermitian metrics, geometric function theory in several complex variables, and symplectic or non-Kähler geometry on complex manifolds. These are areas in which Professor Kobayashi has made strong impact and is continuing to make many deep invaluable contributions.


Analytic Torsion Versus Reidemeister Torsion on Hyperbolic 3 -manifolds with Cusps

Analytic Torsion Versus Reidemeister Torsion on Hyperbolic 3 -manifolds with Cusps
Author: Jonathan Pfaff
Publisher:
Total Pages:
Release: 2012
Genre:
ISBN:

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For a non-compact hyperbolic 3-manifold with cusps we prove an explicit formula that relates the regularized analytic torsion associated to the even symmetric powers of the standard representation of SL2(C) to the corresponding Reidemeister torsion. Ourf proof rests on an expression of the analytic torsion in terms of special values of Ruelle zeta functions as well as on recent work of Pere Menal-Ferrer and Joan Porti.


Geometry And Analysis On Complex Manifolds: Festschrift For S Kobayashi's 60th Birthday

Geometry And Analysis On Complex Manifolds: Festschrift For S Kobayashi's 60th Birthday
Author: Toshiki Mabuchi
Publisher: World Scientific
Total Pages: 261
Release: 1994-12-09
Genre: Mathematics
ISBN: 9814501220

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This volume presents papers dedicated to Professor Shoshichi Kobayashi, commemorating the occasion of his sixtieth birthday on January 4, 1992.The principal theme of this volume is “Geometry and Analysis on Complex Manifolds”. It emphasizes the wide mathematical influence that Professor Kobayashi has on areas ranging from differential geometry to complex analysis and algebraic geometry. It covers various materials including holomorphic vector bundles on complex manifolds, Kähler metrics and Einstein-Hermitian metrics, geometric function theory in several complex variables, and symplectic or non-Kähler geometry on complex manifolds. These are areas in which Professor Kobayashi has made strong impact and is continuing to make many deep invaluable contributions.


Integral Representation Theory

Integral Representation Theory
Author: Jaroslav Lukeš
Publisher: Walter de Gruyter
Total Pages: 732
Release: 2010
Genre: Mathematics
ISBN: 3110203200

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This monograph presents the state of the art of convexity, with an emphasis to integral representation. The exposition is focused on Choquet's theory of function spaces with a link to compact convex sets. An important feature of the book is an interplay between various mathematical subjects, such as functional analysis, measure theory, descriptive set theory, Banach spaces theory and potential theory. A substantial part of the material is of fairly recent origin and many results appear in the book form for the first time. The text is self-contained and covers a wide range of applications. From the contents: Geometry of convex sets Choquet theory of function spaces Affine functions on compact convex sets Perfect classes of functions and representation of affine functions Simplicial function spaces Choquet's theory of function cones Topologies on boundaries Several results on function spaces and compact convex sets Continuous and measurable selectors Construction of function spaces Function spaces in potential theory and Dirichlet problem Applications


Mathematical Reviews

Mathematical Reviews
Author:
Publisher:
Total Pages: 1052
Release: 2006
Genre: Mathematics
ISBN:

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