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Analytic Torsion And The Cheeger Muller Theorem
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Book Synopsis Invariance Theory by : Peter B. Gilkey
Download or read book Invariance Theory written by Peter B. Gilkey and published by CRC Press. This book was released on 2018-05-02 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Metric and Differential Geometry by : Xianzhe Dai
Download or read book Metric and Differential Geometry written by Xianzhe Dai and published by Springer Science & Business Media. This book was released on 2012-06-01 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Metric and Differential Geometry grew out of a similarly named conference held at Chern Institute of Mathematics, Tianjin and Capital Normal University, Beijing. The various contributions to this volume cover a broad range of topics in metric and differential geometry, including metric spaces, Ricci flow, Einstein manifolds, Kähler geometry, index theory, hypoelliptic Laplacian and analytic torsion. It offers the most recent advances as well as surveys the new developments. Contributors: M.T. Anderson J.-M. Bismut X. Chen X. Dai R. Harvey P. Koskela B. Lawson X. Ma R. Melrose W. Müller A. Naor J. Simons C. Sormani D. Sullivan S. Sun G. Tian K. Wildrick W. Zhang
Book Synopsis Functional Analysis in Interdisciplinary Applications—II by : Allaberen Ashyralyev
Download or read book Functional Analysis in Interdisciplinary Applications—II written by Allaberen Ashyralyev and published by Springer Nature. This book was released on 2021-07-03 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functional analysis is an important branch of mathematical analysis which deals with the transformations of functions and their algebraic and topological properties. Motivated by their large applicability to real life problems, applications of functional analysis have been the aim of an intensive study effort in the last decades, yielding significant progress in the theory of functions and functional spaces, differential and difference equations and boundary value problems, differential and integral operators and spectral theory, and mathematical methods in physical and engineering sciences. The present volume is devoted to these investigations. The publication of this collection of papers is based on the materials of the mini-symposium "Functional Analysis in Interdisciplinary Applications" organized in the framework of the Fourth International Conference on Analysis and Applied Mathematics (ICAAM 2018, September 6–9, 2018). Presenting a wide range of topics and results, this book will appeal to anyone working in the subject area, including researchers and students interested to learn more about different aspects and applications of functional analysis. Many articles are written by experts from around the world, strengthening international integration in the fields covered. The contributions to the volume, all peer reviewed, contain numerous new results. This volume contains four different chapters. The first chapter contains the contributed papers focusing on various aspects of the theory of functions and functional spaces. The second chapter is devoted to the research on difference and differential equations and boundary value problems. The third chapter contains the results of studies on differential and integral operators and on the spectral theory. The fourth chapter is focused on the simulation of problems arising in real-world applications of applied sciences.
Book Synopsis Noncommutativity and Singularities by : Jean-Pierre Bourguignon
Download or read book Noncommutativity and Singularities written by Jean-Pierre Bourguignon and published by . This book was released on 2009 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two symposia, the Hayashibara Forum and the MSJ/IHÉS joint workshop, were held at the Institute des Hautes Études Scientifiques (IHÉS) in November, 2006. The Hayashibara Forum focused on singularity theory, which has been one of the research areas that has over the years been well represented at IHÉS. The MSJ/IHÉS Joint Workshop, focused on the broad area of noncommutativity, with an emphasis on noncommutative geometry as one of the fundamental themes of 21st century mathematics. This volume contains papers presented at the symposia in the form of invited lectures and contributing talks by young researchers. We believe that the scope of this volume well reflects a new development for singularity theory, and a new direction in mathematics through noncommutativity. This volume are aimed to inspire not only the specialists in these fields but also a wider audience of mathematicians.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America
Book Synopsis Abstracts of Papers Presented to the American Mathematical Society by : American Mathematical Society
Download or read book Abstracts of Papers Presented to the American Mathematical Society written by American Mathematical Society and published by . This book was released on 2003 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Alexander Reznikov Publisher :Springer Science & Business Media ISBN 13 :9780817641153 Total Pages :352 pages Book Rating :4.6/5 (411 download)
Book Synopsis Regulators in Analysis, Geometry and Number Theory by : Alexander Reznikov
Download or read book Regulators in Analysis, Geometry and Number Theory written by Alexander Reznikov and published by Springer Science & Business Media. This book was released on 2000 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This work is an outgrowth of a conference held at the Hebrew University in Jerusalem on Regulators in Analysis, Geometry and Number Theory, and should appeal to a broad audience of graduate students and research mathematicians."--BOOK JACKET.
Download or read book Geometry & Topology written by and published by . This book was released on 2008 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fully refereed international journal dealing with all aspects of geometry and topology and their applications.
Book Synopsis Government Reports Announcements & Index by :
Download or read book Government Reports Announcements & Index written by and published by . This book was released on 1996 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Spectral Geometry by : Pierre H. Berard
Download or read book Spectral Geometry written by Pierre H. Berard and published by Springer. This book was released on 2006-11-14 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Complex Differential Geometry and Nonlinear Differential Equations by : Yum-Tong Siu
Download or read book Complex Differential Geometry and Nonlinear Differential Equations written by Yum-Tong Siu and published by . This book was released on 1986 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of survey articles and research papers focuses on some of the most fruitful methods and ideas in the recently very active field of complex differential geometry and nonlinear differential equations. The topics found in this 1984 Summer Research Conference Proceedings include the local embedding of Cauchy-Riemann structures, minimal varieties, harmonic maps, Chern number inequalities for singular Kahler surfaces, the spectrum of the Laplacian for Kahler manifolds, foliations, vanishing theorems, and complex Finsler metrics. Papers of particular note include Mok's survey on foliation techniques and vanishing theorems, a succinct account of one of the most important methods in several complex variables which has recently produced some very good results, and the research articles by Cheng-Yau and Sampson, which contain highly significant new results. Both researchers and graduate students in the fields of several complex variables, differential geometry, and partial differential equations will find this material especially useful.
Book Synopsis Large Deviations and the Malliavin Calculus by : Jean-Michel Bismut
Download or read book Large Deviations and the Malliavin Calculus written by Jean-Michel Bismut and published by Birkhäuser. This book was released on 1984 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Bernhelm Booß-Bavnbek Publisher :Springer Science & Business Media ISBN 13 :1461203376 Total Pages :322 pages Book Rating :4.4/5 (612 download)
Book Synopsis Elliptic Boundary Problems for Dirac Operators by : Bernhelm Booß-Bavnbek
Download or read book Elliptic Boundary Problems for Dirac Operators written by Bernhelm Booß-Bavnbek and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elliptic boundary problems have enjoyed interest recently, espe cially among C* -algebraists and mathematical physicists who want to understand single aspects of the theory, such as the behaviour of Dirac operators and their solution spaces in the case of a non-trivial boundary. However, the theory of elliptic boundary problems by far has not achieved the same status as the theory of elliptic operators on closed (compact, without boundary) manifolds. The latter is nowadays rec ognized by many as a mathematical work of art and a very useful technical tool with applications to a multitude of mathematical con texts. Therefore, the theory of elliptic operators on closed manifolds is well-known not only to a small group of specialists in partial dif ferential equations, but also to a broad range of researchers who have specialized in other mathematical topics. Why is the theory of elliptic boundary problems, compared to that on closed manifolds, still lagging behind in popularity? Admittedly, from an analytical point of view, it is a jigsaw puzzle which has more pieces than does the elliptic theory on closed manifolds. But that is not the only reason.
Book Synopsis Torsions of 3-dimensional Manifolds by : Vladimir Turaev
Download or read book Torsions of 3-dimensional Manifolds written by Vladimir Turaev and published by Birkhäuser. This book was released on 2012-12-06 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "This is an excellent exposition about abelian Reidemeister torsions for three-manifolds." —Zentralblatt Math "This monograph contains a wealth of information many topologists will find very handy. ...Many of the new points of view pioneered by Turaev are gradually becoming mainstream and are spreading beyond the pure topology world. This monograph is a timely and very useful addition to the scientific literature." —Mathematical Reviews
Book Synopsis Fundamentals of Differential Geometry by : Serge Lang
Download or read book Fundamentals of Differential Geometry written by Serge Lang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the basic concepts in differential topology, differential geometry, and differential equations, and some of the main basic theorems in all three areas. This new edition includes new chapters, sections, examples, and exercises. From the reviews: "There are many books on the fundamentals of differential geometry, but this one is quite exceptional; this is not surprising for those who know Serge Lang's books." --EMS NEWSLETTER
Book Synopsis The Disc Embedding Theorem by : Stefan Behrens
Download or read book The Disc Embedding Theorem written by Stefan Behrens and published by Oxford University Press. This book was released on 2021-07-15 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on Fields medal winning work of Michael Freedman, this book explores the disc embedding theorem for 4-dimensional manifolds. This theorem underpins virtually all our understanding of topological 4-manifolds. Most famously, this includes the 4-dimensional Poincaré conjecture in the topological category. The Disc Embedding Theorem contains the first thorough and approachable exposition of Freedman's proof of the disc embedding theorem, with many new details. A self-contained account of decomposition space theory, a beautiful but outmoded branch of topology that produces non-differentiable homeomorphisms between manifolds, is provided, as well as a stand-alone interlude that explains the disc embedding theorem's key role in all known homeomorphism classifications of 4-manifolds via surgery theory and the s-cobordism theorem. Additionally, the ramifications of the disc embedding theorem within the study of topological 4-manifolds, for example Frank Quinn's development of fundamental tools like transversality are broadly described. The book is written for mathematicians, within the subfield of topology, specifically interested in the study of 4-dimensional spaces, and includes numerous professionally rendered figures.
Book Synopsis p-adic Differential Equations by : Kiran S. Kedlaya
Download or read book p-adic Differential Equations written by Kiran S. Kedlaya and published by Cambridge University Press. This book was released on 2010-06-10 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last 50 years the theory of p-adic differential equations has grown into an active area of research in its own right, and has important applications to number theory and to computer science. This book, the first comprehensive and unified introduction to the subject, improves and simplifies existing results as well as including original material. Based on a course given by the author at MIT, this modern treatment is accessible to graduate students and researchers. Exercises are included at the end of each chapter to help the reader review the material, and the author also provides detailed references to the literature to aid further study.
Download or read book Quantum Physics written by James Glimm and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes fifteen years' work which has led to the construc- tion of solutions to non-linear relativistic local field e- quations in 2 and 3 space-time dimensions. Gives proof of the existence theorem in 2 dimensions and describes many properties of the solutions.