Manifolds With Cusps Of Rank One

Download Manifolds With Cusps Of Rank One full books in PDF, epub, and Kindle. Read online Manifolds With Cusps Of Rank One ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Manifolds with Cusps of Rank One

Author : Werner Müller
Publisher : Springer
ISBN 13 : 3540477624
Total Pages : 169 pages
Book Rating : 4.5/5 (44 download)

DOWNLOAD NOW!

Book Synopsis Manifolds with Cusps of Rank One by : Werner Müller

Download or read book Manifolds with Cusps of Rank One written by Werner Müller and published by Springer. This book was released on 2006-11-15 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: The manifolds investigated in this monograph are generalizations of (XX)-rank one locally symmetric spaces. In the first part of the book the author develops spectral theory for the differential Laplacian operator associated to the so-called generalized Dirac operators on manifolds with cusps of rank one. This includes the case of spinor Laplacians on (XX)-rank one locally symmetric spaces. The time-dependent approach to scattering theory is taken to derive the main results about the spectral resolution of these operators. The second part of the book deals with the derivation of an index formula for generalized Dirac operators on manifolds with cusps of rank one. This index formula is used to prove a conjecture of Hirzebruch concerning the relation of signature defects of cusps of Hilbert modular varieties and special values of L-series. This book is intended for readers working in the field of automorphic forms and analysis on non-compact Riemannian manifolds, and assumes a knowledge of PDE, scattering theory and harmonic analysis on semisimple Lie groups.

L2-index of Elliptic Operators on Manifolds with Cusps of Rank One

Author : Werner Müller
Publisher :
ISBN 13 :
Total Pages : 260 pages
Book Rating : 4.E/5 ( download)

DOWNLOAD NOW!

Book Synopsis L2-index of Elliptic Operators on Manifolds with Cusps of Rank One by : Werner Müller

Download or read book L2-index of Elliptic Operators on Manifolds with Cusps of Rank One written by Werner Müller and published by . This book was released on 1985 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Groups Acting on Hyperbolic Space

Author : Juergen Elstrodt
Publisher : Springer Science & Business Media
ISBN 13 : 3662036266
Total Pages : 530 pages
Book Rating : 4.6/5 (62 download)

DOWNLOAD NOW!

Book Synopsis Groups Acting on Hyperbolic Space by : Juergen Elstrodt

Download or read book Groups Acting on Hyperbolic Space written by Juergen Elstrodt and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with discontinuous groups of motions of the unique connected and simply connected Riemannian 3-manifold of constant curva ture -1, which is traditionally called hyperbolic 3-space. This space is the 3-dimensional instance of an analogous Riemannian manifold which exists uniquely in every dimension n :::: 2. The hyperbolic spaces appeared first in the work of Lobachevski in the first half of the 19th century. Very early in the last century the group of isometries of these spaces was studied by Steiner, when he looked at the group generated by the inversions in spheres. The ge ometries underlying the hyperbolic spaces were of fundamental importance since Lobachevski, Bolyai and Gauß had observed that they do not satisfy the axiom of parallels. Already in the classical works several concrete coordinate models of hy perbolic 3-space have appeared. They make explicit computations possible and also give identifications of the full group of motions or isometries with well-known matrix groups. One such model, due to H. Poincare, is the upper 3 half-space IH in JR . The group of isometries is then identified with an exten sion of index 2 of the group PSL(2,

Outer Circles

Author : A. Marden
Publisher : Cambridge University Press
ISBN 13 : 1139463764
Total Pages : 393 pages
Book Rating : 4.1/5 (394 download)

DOWNLOAD NOW!

Book Synopsis Outer Circles by : A. Marden

Download or read book Outer Circles written by A. Marden and published by Cambridge University Press. This book was released on 2007-05-31 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: We live in a three-dimensional space; what sort of space is it? Can we build it from simple geometric objects? The answers to such questions have been found in the last 30 years, and Outer Circles describes the basic mathematics needed for those answers as well as making clear the grand design of the subject of hyperbolic manifolds as a whole. The purpose of Outer Circles is to provide an account of the contemporary theory, accessible to those with minimal formal background in topology, hyperbolic geometry, and complex analysis. The text explains what is needed, and provides the expertise to use the primary tools to arrive at a thorough understanding of the big picture. This picture is further filled out by numerous exercises and expositions at the ends of the chapters and is complemented by a profusion of high quality illustrations. There is an extensive bibliography for further study.

Differential Geometry: Geometry in Mathematical Physics and Related Topics

Author : Robert Everist Greene
Publisher : American Mathematical Soc.
ISBN 13 : 0821814958
Total Pages : 681 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!

Book Synopsis Differential Geometry: Geometry in Mathematical Physics and Related Topics by : Robert Everist Greene

Download or read book Differential Geometry: Geometry in Mathematical Physics and Related Topics written by Robert Everist Greene and published by American Mathematical Soc.. This book was released on 1993 with total page 681 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second of three parts comprising Volume 54, the proceedings of the Summer Research Institute on Differential Geometry, held at the University of California, Los Angeles, July 1990 (ISBN for the set is 0-8218-1493-1). Among the subjects of Part 2 are gauge theory, symplectic geometry, complex ge

Geometric Analysis and Nonlinear Partial Differential Equations

Author : Stefan Hildebrandt
Publisher : Springer Science & Business Media
ISBN 13 : 3642556272
Total Pages : 663 pages
Book Rating : 4.6/5 (425 download)

DOWNLOAD NOW!

Book Synopsis Geometric Analysis and Nonlinear Partial Differential Equations by : Stefan Hildebrandt

Download or read book Geometric Analysis and Nonlinear Partial Differential Equations written by Stefan Hildebrandt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 663 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is not a textbook, but rather a coherent collection of papers from the field of partial differential equations. Nevertheless we believe that it may very well serve as a good introduction into some topics of this classical field of analysis which, despite of its long history, is highly modem and well prospering. Richard Courant wrote in 1950: "It has always been a temptationfor mathematicians to present the crystallized product of their thought as a deductive general theory and to relegate the individual mathematical phenomenon into the role of an example. The reader who submits to the dogmatic form will be easily indoctrinated. Enlightenment, however, must come from an understanding of motives; live mathematical development springs from specific natural problems which can be easily understood, but whose solutions are difficult and demand new methods or more general significance. " We think that many, if not all, papers of this book are written in this spirit and will give the reader access to an important branch of analysis by exhibiting interest ing problems worth to be studied. Most of the collected articles have an extensive introductory part describing the history of the presented problems as well as the state of the art and offer a well chosen guide to the literature. This way the papers became lengthier than customary these days, but the level of presentation is such that an advanced graduate student should find the various articles both readable and stimulating.

Hyperbolic Manifolds

Author : Albert Marden
Publisher : Cambridge University Press
ISBN 13 : 1107116740
Total Pages : 535 pages
Book Rating : 4.1/5 (71 download)

DOWNLOAD NOW!

Book Synopsis Hyperbolic Manifolds by : Albert Marden

Download or read book Hyperbolic Manifolds written by Albert Marden and published by Cambridge University Press. This book was released on 2016-02 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study of hyperbolic geometry has both pedagogy and research in mind, and includes exercises and further reading for each chapter.

L2-Invariants: Theory and Applications to Geometry and K-Theory

Author : Wolfgang Lück
Publisher : Springer Science & Business Media
ISBN 13 : 3662046873
Total Pages : 604 pages
Book Rating : 4.6/5 (62 download)

DOWNLOAD NOW!

Book Synopsis L2-Invariants: Theory and Applications to Geometry and K-Theory by : Wolfgang Lück

Download or read book L2-Invariants: Theory and Applications to Geometry and K-Theory written by Wolfgang Lück and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: In algebraic topology some classical invariants - such as Betti numbers and Reidemeister torsion - are defined for compact spaces and finite group actions. They can be generalized using von Neumann algebras and their traces, and applied also to non-compact spaces and infinite groups. These new L2-invariants contain very interesting and novel information and can be applied to problems arising in topology, K-Theory, differential geometry, non-commutative geometry and spectral theory. The book, written in an accessible manner, presents a comprehensive introduction to this area of research, as well as its most recent results and developments.

The Selberg-Arthur Trace Formula

Author : Salahoddin Shokranian
Publisher : Springer
ISBN 13 : 3540466592
Total Pages : 104 pages
Book Rating : 4.5/5 (44 download)

DOWNLOAD NOW!

Book Synopsis The Selberg-Arthur Trace Formula by : Salahoddin Shokranian

Download or read book The Selberg-Arthur Trace Formula written by Salahoddin Shokranian and published by Springer. This book was released on 2006-11-14 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book based on lectures given by James Arthur discusses the trace formula of Selberg and Arthur. The emphasis is laid on Arthur's trace formula for GL(r), with several examples in order to illustrate the basic concepts. The book will be useful and stimulating reading for graduate students in automorphic forms, analytic number theory, and non-commutative harmonic analysis, as well as researchers in these fields. Contents: I. Number Theory and Automorphic Representations.1.1. Some problems in classical number theory, 1.2. Modular forms and automorphic representations; II. Selberg's Trace Formula 2.1. Historical Remarks, 2.2. Orbital integrals and Selberg's trace formula, 2.3.Three examples, 2.4. A necessary condition, 2.5. Generalizations and applications; III. Kernel Functions and the Convergence Theorem, 3.1. Preliminaries on GL(r), 3.2. Combinatorics and reduction theory, 3.3. The convergence theorem; IV. The Ad lic Theory, 4.1. Basic facts; V. The Geometric Theory, 5.1. The JTO(f) and JT(f) distributions, 5.2. A geometric I-function, 5.3. The weight functions; VI. The Geometric Expansionof the Trace Formula, 6.1. Weighted orbital integrals, 6.2. The unipotent distribution; VII. The Spectral Theory, 7.1. A review of the Eisenstein series, 7.2. Cusp forms, truncation, the trace formula; VIII.The Invariant Trace Formula and its Applications, 8.1. The invariant trace formula for GL(r), 8.2. Applications and remarks

Resolvent, Heat Kernel, and Torsion under Degeneration to Fibered Cusps

Author : Pierre Albin
Publisher : American Mathematical Soc.
ISBN 13 : 1470444224
Total Pages : 126 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!

Book Synopsis Resolvent, Heat Kernel, and Torsion under Degeneration to Fibered Cusps by : Pierre Albin

Download or read book Resolvent, Heat Kernel, and Torsion under Degeneration to Fibered Cusps written by Pierre Albin and published by American Mathematical Soc.. This book was released on 2021-06-21 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: Manifolds with ﬁbered cusps are a class of complete non-compact Riemannian manifolds including many examples of locally symmetric spaces of rank one. We study the spectrum of the Hodge Laplacian with coeﬃcients in a ﬂat bundle on a closed manifold undergoing degeneration to a manifold with ﬁbered cusps. We obtain precise asymptotics for the resolvent, the heat kernel, and the determinant of the Laplacian. Using these asymptotics we obtain a topological description of the analytic torsion on a manifold with ﬁbered cusps in terms of the R-torsion of the underlying manifold with boundary.

Spectral Theory and Mathematical Physics

Author : Marius Mantoiu
Publisher : Birkhäuser
ISBN 13 : 3319299921
Total Pages : 259 pages
Book Rating : 4.3/5 (192 download)

DOWNLOAD NOW!

Book Synopsis Spectral Theory and Mathematical Physics by : Marius Mantoiu

Download or read book Spectral Theory and Mathematical Physics written by Marius Mantoiu and published by Birkhäuser. This book was released on 2016-06-30 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume contains the Proceedings of the International Conference on Spectral Theory and Mathematical Physics held in Santiago de Chile in November 2014. Main topics are: Ergodic Quantum Hamiltonians, Magnetic Schrödinger Operators, Quantum Field Theory, Quantum Integrable Systems, Scattering Theory, Semiclassical and Microlocal Analysis, Spectral Shift Function and Quantum Resonances. The book presents survey articles as well as original research papers on these topics. It will be of interest to researchers and graduate students in Mathematics and Mathematical Physics.

The Callias Index Formula Revisited

Author : Fritz Gesztesy
Publisher : Springer
ISBN 13 : 3319299778
Total Pages : 191 pages
Book Rating : 4.3/5 (192 download)

DOWNLOAD NOW!

Book Synopsis The Callias Index Formula Revisited by : Fritz Gesztesy

Download or read book The Callias Index Formula Revisited written by Fritz Gesztesy and published by Springer. This book was released on 2016-06-28 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes aim at providing a purely analytical and accessible proof of the Callias index formula. In various branches of mathematics (particularly, linear and nonlinear partial differential operators, singular integral operators, etc.) and theoretical physics (e.g., nonrelativistic and relativistic quantum mechanics, condensed matter physics, and quantum field theory), there is much interest in computing Fredholm indices of certain linear partial differential operators. In the late 1970’s, Constantine Callias found a formula for the Fredholm index of a particular first-order differential operator (intimately connected to a supersymmetric Dirac-type operator) additively perturbed by a potential, shedding additional light on the Fedosov-Hörmander Index Theorem. As a byproduct of our proof we also offer a glimpse at special non-Fredholm situations employing a generalized Witten index.

Geometric Scattering Theory

Author : Richard B. Melrose
Publisher : Cambridge University Press
ISBN 13 : 9780521498104
Total Pages : 134 pages
Book Rating : 4.4/5 (981 download)

DOWNLOAD NOW!

Book Synopsis Geometric Scattering Theory by : Richard B. Melrose

Download or read book Geometric Scattering Theory written by Richard B. Melrose and published by Cambridge University Press. This book was released on 1995-07-28 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes are intended as a non-technical overview of scattering theory.

Holomorphic Functions and Moduli II

Author : David Drasin
Publisher : Springer Science & Business Media
ISBN 13 : 1461396115
Total Pages : 292 pages
Book Rating : 4.4/5 (613 download)

DOWNLOAD NOW!

Book Synopsis Holomorphic Functions and Moduli II by : David Drasin

Download or read book Holomorphic Functions and Moduli II written by David Drasin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Spring 1986 Program in Geometric Function Theory (GFT) at the Mathematical Sciences Research Institute (MSRI) brought together mathe maticians interested in Teichmiiller theory, quasiconformal mappings, Kleinian groups, univalent functions and value distribution. It included a large and stimulating Workshop, preceded by a mini-conference on String Theory attended by both mathematicians and physicists. These activities produced interesting results and fruitful interactions among the partici pants. These volumes represent only a portion of the papers that will even tually result from ideas developed in the offices and corridors of MSRI's elegant home. The Editors solicited contributions from all participants in the Program whether or not they gave a talk at the Workshop. Papers were also submit ted by mathematicians invited but unable to attend. All manuscripts were refereed. The articles included here cover a broad spectrum, representative of the activities during the semester. We have made an attempt to group them by subject, for the reader's convenience. The Editors take pleasure in thanking all participants, authors and ref erees for their work in producing these volumes. We are also grateful to the Scientific Advisory Council of MSRI for sup porting the Program in GFT. Finally thanks are due to the National Sci ence Foundation and those Universities (including Cornell, Michigan, Min nesota, Rutgers Newark, SUNY Stony Brook) who gave released time to faculty members to participate for extended periods in this program.

Global Analysis on Open Manifolds

Author : Jürgen Eichhorn
Publisher : Nova Publishers
ISBN 13 : 9781600215636
Total Pages : 664 pages
Book Rating : 4.2/5 (156 download)

DOWNLOAD NOW!

Book Synopsis Global Analysis on Open Manifolds by : Jürgen Eichhorn

Download or read book Global Analysis on Open Manifolds written by Jürgen Eichhorn and published by Nova Publishers. This book was released on 2007 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: Global analysis is the analysis on manifolds. Since the middle of the sixties there exists a highly elaborated setting if the underlying manifold is compact, evidence of which can be found in index theory, spectral geometry, the theory of harmonic maps, many applications to mathematical physics on closed manifolds like gauge theory, Seiberg-Witten theory, etc. If the underlying manifold is open, i.e. non-compact and without boundary, then most of the foundations and of the great achievements fail. Elliptic operators are no longer Fredholm, the analytical and topological indexes are not defined, the spectrum of self-adjoint elliptic operators is no longer discrete, functional spaces strongly depend on the operators involved and the data from geometry, many embedding and module structure theorems do not hold, manifolds of maps are not defined, etc. It is the goal of this new book to provide serious foundations for global analysis on open manifolds, to discuss the difficulties and special features which come from the openness and to establish many results and applications on this basis.

Manifolds with Cusps of Rank One

Author : Werner Muller
Publisher :
ISBN 13 : 9783662201480
Total Pages : 172 pages
Book Rating : 4.2/5 (14 download)

DOWNLOAD NOW!

Book Synopsis Manifolds with Cusps of Rank One by : Werner Muller

Download or read book Manifolds with Cusps of Rank One written by Werner Muller and published by . This book was released on 2014-09-01 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Kleinian Groups and Hyperbolic 3-Manifolds

Author : Y. Komori
Publisher : Cambridge University Press
ISBN 13 : 9781139437233
Total Pages : 396 pages
Book Rating : 4.4/5 (372 download)

DOWNLOAD NOW!

Book Synopsis Kleinian Groups and Hyperbolic 3-Manifolds by : Y. Komori

Download or read book Kleinian Groups and Hyperbolic 3-Manifolds written by Y. Komori and published by Cambridge University Press. This book was released on 2003-11-10 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of Kleinian groups and hyperbolic 3-manifolds is currently undergoing explosively fast development, with many old problems and conjectures close to resolution. This volume, proceedings of the Warwick workshop in September 2001, contains expositions of many of these breakthroughs including Minsky's lectures on the first half of the proof of the Ending Lamination Conjecture, the Bers Density Conjecture by Brock and Bromberg, the Tameness Conjecture by Kleineidam and Souto, the state of the art in cone manifolds by Hodgson and Kerckhoff, and the counter example to Thurston's K=2 conjecture by Epstein, Marden and Markovic. It also contains Jørgensen's famous paper 'On pairs of once punctured tori' in print for the first time. The excellent collection of papers here will appeal to graduate students, who will find much here to inspire them, and established researchers who will find this valuable as a snapshot of current research.