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Author : Nigel J. Hitchin
Publisher :
ISBN 13 :
Total Pages : 102 pages
Book Rating : 4.3/5 (91 download)
Download or read book Monopoles, Minimal Surfaces and Algebraic Curves written by Nigel J. Hitchin and published by . This book was released on 1987 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yakov M. Shnir
Publisher : Springer Science & Business Media
ISBN 13 : 3540290826
Total Pages : 534 pages
Book Rating : 4.5/5 (42 download)
Download or read book Magnetic Monopoles written by Yakov M. Shnir and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surveys the monopole problem on a few different levels, from classical electrodynamics up to N=2 SUSY Yang-Mills theory. and presents a compact, `bird's eye view' on the entire set of problems related with very notion of monopole including actual stand of the problem, related historical remarks and comprehensive bibliography. Presents original results obtained by the author in collaboration with other researches are presented as well as it summarizes the present status of the theory of monopoles and provides an introduction to the field.
Author : Mark Adler
Publisher : Springer Science & Business Media
ISBN 13 : 366205650X
Total Pages : 487 pages
Book Rating : 4.6/5 (62 download)
Download or read book Algebraic Integrability, Painlevé Geometry and Lie Algebras written by Mark Adler and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Ergebnisse volume is aimed at a wide readership of mathematicians and physicists, graduate students and professionals. The main thrust of the book is to show how algebraic geometry, Lie theory and Painlevé analysis can be used to explicitly solve integrable differential equations and construct the algebraic tori on which they linearize; at the same time, it is, for the student, a playing ground to applying algebraic geometry and Lie theory. The book is meant to be reasonably self-contained and presents numerous examples. The latter appear throughout the text to illustrate the ideas, and make up the core of the last part of the book. The first part of the book contains the basic tools from Lie groups, algebraic and differential geometry to understand the main topic.
Author : Tadayoshi Mizutani
Publisher : World Scientific
ISBN 13 : 9814533831
Total Pages : 514 pages
Book Rating : 4.8/5 (145 download)
Download or read book Proceedings of the International Symposium/Workshop on Geometric Study of Foliations written by Tadayoshi Mizutani and published by World Scientific. This book was released on 1994 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Chuu-lian Terng
Publisher : American Mathematical Soc.
ISBN 13 : 0821840487
Total Pages : 270 pages
Book Rating : 4.8/5 (218 download)
Download or read book Integrable Systems, Geometry, and Topology written by Chuu-lian Terng and published by American Mathematical Soc.. This book was released on 2006 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this volume are based on lectures from a program on integrable systems and differential geometry held at Taiwan's National Center for Theoretical Sciences. As is well-known, for many soliton equations, the solutions have interpretations as differential geometric objects, and thereby techniques of soliton equations have been successfully applied to the study of geometric problems. The article by Burstall gives a beautiful exposition on isothermic surfaces and theirrelations to integrable systems, and the two articles by Guest give an introduction to quantum cohomology, carry out explicit computations of the quantum cohomology of flag manifolds and Hirzebruch surfaces, and give a survey of Givental's quantum differential equations. The article by Heintze, Liu,and Olmos is on the theory of isoparametric submanifolds in an arbitrary Riemannian manifold, which is related to the n-wave equation when the ambient manifold is Euclidean. Mukai-Hidano and Ohnita present a survey on the moduli space of Yang-Mills-Higgs equations on Riemann surfaces. The article by Terng and Uhlenbeck explains the gauge equivalence of the matrix non-linear Schrödinger equation, the Schrödinger flow on Grassmanian, and the Heisenberg Feromagnetic model. The bookprovides an introduction to integrable systems and their relation to differential geometry. It is suitable for advanced graduate students and research mathematicians. Information for our distributors: Titles in this series are copublished with International Press, Cambridge, MA.
Author : Jørgen Ellegaard Andersen
Publisher : Oxford University Press, USA
ISBN 13 : 0198802013
Total Pages : 392 pages
Book Rating : 4.1/5 (988 download)
Download or read book Geometry and Physics written by Jørgen Ellegaard Andersen and published by Oxford University Press, USA. This book was released on 2018 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nigel Hitchin is one of the world's foremost figures in the fields of differential and algebraic geometry and their relations with mathematical physics, and he has been Savilian Professor of Geometry at Oxford since 1997. Geometry and Physics: A Festschrift in honour of Nigel Hitchin contain the proceedings of the conferences held in September 2016 in Aarhus, Oxford, and Madrid to mark Nigel Hitchin's 70th birthday, and to honour his far-reaching contributions to geometry and mathematical physics. These texts contain 29 articles by contributors to the conference and other distinguished mathematicians working in related areas, including three Fields Medallists. The articles cover a broad range of topics in differential, algebraic and symplectic geometry, and also in mathematical physics. These volumes will be of interest to researchers and graduate students in geometry and mathematical physics.
Author : Jacques Hurtubise
Publisher : Springer Science & Business Media
ISBN 13 : 9401716676
Total Pages : 227 pages
Book Rating : 4.4/5 (17 download)
Download or read book Gauge Theory and Symplectic Geometry written by Jacques Hurtubise and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gauge theory, symplectic geometry and symplectic topology are important areas at the crossroads of several mathematical disciplines. The present book, with expertly written surveys of recent developments in these areas, includes some of the first expository material of Seiberg-Witten theory, which has revolutionised the subjects since its introduction in late 1994. Topics covered include: introductions to Seiberg-Witten theory, to applications of the S-W theory to four-dimensional manifold topology, and to the classification of symplectic manifolds; an introduction to the theory of pseudo-holomorphic curves and to quantum cohomology; algebraically integrable Hamiltonian systems and moduli spaces; the stable topology of gauge theory, Morse-Floer theory; pseudo-convexity and its relations to symplectic geometry; generating functions; Frobenius manifolds and topological quantum field theory.
Author : Samuel H. Gruber
Publisher : Springer Science & Business Media
ISBN 13 : 1489912193
Total Pages : 749 pages
Book Rating : 4.4/5 (899 download)
Download or read book Symmetries in Science VI written by Samuel H. Gruber and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 749 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Symposium ·Symmetries in Science VI: From the Rotation Group to Quantum Algebras· was held at the Cloister Mehrerau, Bregenz, Austria, during the period August 2-7, 1992. The Symposium was held in honor of Professor Lawrence C. Biedenharn on the occasion of his 70th birthday. During the academic year 1966/67 I worked as research associate with Larry at Duke University and we have ever since maintained close contact. It was thus natural for me to take the initiative and to organize this Symposium in honor of Larry as a great scientist and friend. The response which the Symposium received showed the favorable reaction by the scientific community to the opportunity provided by the Symposium to honor our colleague, teacher and friend. Equally, the scientific contributions contained in this volume illustrate the high esteem in which he is held. I wish to thank all the scientists who participated in the Symposium and who contributed to this volume. It is due to their commitment that the Symposium was successful. Finally I need to thank those who provided financial and logistical assistance to the Symposium: Dr. John H. Guyon, President of Southern Illinois University at Carbondale, Dr. Russell R. Dutcher, Dean, College of Science at SIUC, Dr. Maurice A. Wright, Chairman, Department of Physics, SIUC, Dr. Victoria J. Molfese, Office of Research Developement and Administration, SIUC, as well as Dr. Martin Purtscher, Landeshauptmann, Land Vorarlberg Dr. Guntram Lins, Landesrat, Land Vorarlberg.
Author : Mark J. Ablowitz
Publisher : Cambridge University Press
ISBN 13 : 0521387302
Total Pages : 532 pages
Book Rating : 4.5/5 (213 download)
Download or read book Solitons, Nonlinear Evolution Equations and Inverse Scattering written by Mark J. Ablowitz and published by Cambridge University Press. This book was released on 1991-12-12 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book will be a valuable addition to the growing literature in the area and essential reading for all researchers in the field of soliton theory.
Author : Nigel J. Hitchin
Publisher : Oxford University Press
ISBN 13 : 0199534926
Total Pages : 453 pages
Book Rating : 4.1/5 (995 download)
Download or read book The Many Facets of Geometry written by Nigel J. Hitchin and published by Oxford University Press. This book was released on 2010-07 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title celebrates the academic career of Professor Nigel Hitchin - one of the most influential figures in the field of differential and algebraic geometry.
Author : Christopher Kum Anand
Publisher : CRC Press
ISBN 13 : 9781584880325
Total Pages : 332 pages
Book Rating : 4.8/5 (83 download)
Download or read book Harmonic Morphisms, Harmonic Maps and Related Topics written by Christopher Kum Anand and published by CRC Press. This book was released on 1999-10-13 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of harmonic morphisms is relatively new but has attracted a huge worldwide following. Mathematicians, young researchers and distinguished experts came from all corners of the globe to the City of Brest - site of the first, international conference devoted to the fledgling but dynamic field of harmonic morphisms. Harmonic Morphisms, Harmonic Maps, and Related Topics reports the proceedings of that conference, forms the first work primarily devoted to harmonic morphisms, bringing together contributions from the founders of the subject, leading specialists, and experts in other related fields. Starting with "The Beginnings of Harmonic Morphisms," which provides the essential background, the first section includes papers on the stability of harmonic morphisms, global properties, harmonic polynomial morphisms, Bochner technique, f-structures, symplectic harmonic morphisms, and discrete harmonic morphisms. The second section addresses the wider domain of harmonic maps and contains some of the most recent results on harmonic maps and surfaces. The final section highlights the rapidly developing subject of constant mean curvature surfaces. Harmonic Morphisms, Harmonic Maps, and Related Topics offers a coherent, balanced account of this fast-growing subject that furnishes a vital reference for anyone working in the field.
Author : Feza Grsey
Publisher : World Scientific
ISBN 13 : 9789810228637
Total Pages : 492 pages
Book Rating : 4.2/5 (286 download)
Download or read book On the Role of Division, Jordan and Related Algebras in Particle Physics written by Feza Grsey and published by World Scientific. This book was released on 1996 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph surveys the role of some associative and non-associative algebras, remarkable by their ubiquitous appearance in contemporary theoretical physics, particularly in particle physics. It concerns the interplay between division algebras, specifically quaternions and octonions, between Jordan and related algebras on the one hand, and unified theories of the basic interactions on the other. Selected applications of these algebraic structures are discussed: quaternion analyticity of Yang-Mills instantons, octonionic aspects of exceptional broken gauge, supergravity theories, division algebras in anyonic phenomena and in theories of extended objects in critical dimensions. The topics presented deal primarily with original contributions by the authors.
Author : A. S. Galperin
Publisher : Cambridge University Press
ISBN 13 : 1139430491
Total Pages : 322 pages
Book Rating : 4.1/5 (394 download)
Download or read book Harmonic Superspace written by A. S. Galperin and published by Cambridge University Press. This book was released on 2001-09-27 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inspired by exciting developments in superstring theory, this is a pedagogical and comprehensive introduction to the harmonic superspace method in extended supersymmetry. The authors (credited with inventing the technique) are recognised as world experts on the subject and present a clear account of its formalism and applications.
Author : Hiraku Nakajima
Publisher : American Mathematical Soc.
ISBN 13 : 0821819569
Total Pages : 146 pages
Book Rating : 4.8/5 (218 download)
Download or read book Lectures on Hilbert Schemes of Points on Surfaces written by Hiraku Nakajima and published by American Mathematical Soc.. This book was released on 1999 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: It has been realized that Hilbert schemes originally studied in algebraic geometry are closely related to several branches of mathematics, such as singularities, symplectic geometry, representation theory - even theoretical physics. This book reflects this feature of Hilbert schemes.
Author : Tadayoshi Mizutani
Publisher : World Scientific
ISBN 13 : 9814550396
Total Pages : 514 pages
Book Rating : 4.8/5 (145 download)
Download or read book Geometric Study Of Foliations - Proceedings Of The International Symposium/workshop written by Tadayoshi Mizutani and published by World Scientific. This book was released on 1994-12-16 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers recent topics in various aspects of foliation theory and its relation with other areas including dynamical systems, C∗-algebras, index theory and low-dimensional topology. It contains survey articles by G Hector, S Hurder and P Molino, as well as more than 20 original papers by specialists who are currently most active in the field.
Author : Andrew E. Chubykalo
Publisher : World Scientific
ISBN 13 : 9789810240622
Total Pages : 492 pages
Book Rating : 4.2/5 (46 download)
Download or read book Lorentz Group, CPT and Neutrinos written by Andrew E. Chubykalo and published by World Scientific. This book was released on 2000 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topics in this volume range from mathematical aspects of the theory of the Poincar group, Clifford algebras and the CPT theorem, through new theoretical physical constructions and concepts (such as the physical significance of the 4-potential, the interplay between quantum mechanics and gravity, Majorana-like models, the photon as a composite particle, action-at-a-distance and superluminal phenomena), to experiments in neutrino physics. The book will be of interest to graduate students and researchers working in fundamental physics and phenomenology, and also to experimentalists.
Author : Robert Everist Greene
Publisher : American Mathematical Soc.
ISBN 13 : 0821814958
Total Pages : 681 pages
Book Rating : 4.8/5 (218 download)
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
