Magnetic Monopoles

Magnetic Monopoles
Author: Yakov M. Shnir
Publisher: Springer Science & Business Media
Total Pages: 534
Release: 2006-03-30
Genre: Science
ISBN: 3540290826

Download Magnetic Monopoles Book in PDF, Epub and Kindle

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.

Algebraic Integrability, Painlevé Geometry and Lie Algebras

Algebraic Integrability, Painlevé Geometry and Lie Algebras
Author: Mark Adler
Publisher: Springer Science & Business Media
Total Pages: 487
Release: 2013-03-14
Genre: Mathematics
ISBN: 366205650X

Download Algebraic Integrability, Painlevé Geometry and Lie Algebras Book in PDF, Epub and Kindle

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.

Gauge Theory and Symplectic Geometry

Gauge Theory and Symplectic Geometry
Author: Jacques Hurtubise
Publisher: Springer Science & Business Media
Total Pages: 227
Release: 2013-04-17
Genre: Mathematics
ISBN: 9401716676

Download Gauge Theory and Symplectic Geometry Book in PDF, Epub and Kindle

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.

The Many Facets of Geometry

The Many Facets of Geometry
Author: Nigel J. Hitchin
Publisher: Oxford University Press
Total Pages: 453
Release: 2010-07
Genre: Mathematics
ISBN: 0199534926

Download The Many Facets of Geometry Book in PDF, Epub and Kindle

This title celebrates the academic career of Professor Nigel Hitchin - one of the most influential figures in the field of differential and algebraic geometry.

Symmetries in Science VI

Symmetries in Science VI
Author: Samuel H. Gruber
Publisher: Springer Science & Business Media
Total Pages: 749
Release: 2013-11-11
Genre: Science
ISBN: 1489912193

Download Symmetries in Science VI Book in PDF, Epub and Kindle

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.

Lectures on Hilbert Schemes of Points on Surfaces

Lectures on Hilbert Schemes of Points on Surfaces
Author: Hiraku Nakajima
Publisher: American Mathematical Soc.
Total Pages: 146
Release: 1999
Genre: Mathematics
ISBN: 0821819569

Download Lectures on Hilbert Schemes of Points on Surfaces Book in PDF, Epub and Kindle

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.

Harmonic Morphisms, Harmonic Maps and Related Topics

Harmonic Morphisms, Harmonic Maps and Related Topics
Author: Christopher Kum Anand
Publisher: CRC Press
Total Pages: 332
Release: 1999-10-13
Genre: Mathematics
ISBN: 9781584880325

Download Harmonic Morphisms, Harmonic Maps and Related Topics Book in PDF, Epub and Kindle

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.

Harmonic Superspace

Harmonic Superspace
Author: A. S. Galperin
Publisher: Cambridge University Press
Total Pages: 322
Release: 2001-09-27
Genre: Science
ISBN: 1139430491

Download Harmonic Superspace Book in PDF, Epub and Kindle

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.