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Author : Ralph M. Kaufmann
Publisher :
ISBN 13 : 9781470471422
Total Pages : 0 pages
Book Rating : 4.4/5 (714 download)
Download or read book Higher Structures in Topology, Geometry and Physics written by Ralph M. Kaufmann and published by . This book was released on 2024 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James D. Stasheff
Publisher : American Mathematical Soc.
ISBN 13 : 082180913X
Total Pages : 321 pages
Book Rating : 4.8/5 (218 download)
Download or read book Higher Homotopy Structures in Topology and Mathematical Physics written by James D. Stasheff and published by American Mathematical Soc.. This book was released on 1999 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the work of Stasheff and Sugawara in the 1960s on recognition of loop space structures on $H$-spaces, the notion of higher homotopies has grown to be a fundamental organizing principle in homotopy theory, differential graded homological algebra and even mathematical physics. This book presents the proceedings from a conference held on the occasion of Stasheff's 60th birthday at Vassar in June 1996. It offers a collection of very high quality papers and includes some fundamental essays on topics that open new areas. It's features include: accessible to a broad audience interested in mathematics and physics; offers a comprehensive overview of Stasheff's work; and, contains papers on very current research topics, including operads, combinatorial polyhedra and moduli spaces.
Author : Alberto S. Cattaneo
Publisher :
ISBN 13 : 9780817672317
Total Pages : 380 pages
Book Rating : 4.6/5 (723 download)
Download or read book Higher Structures in Geometry and Physics written by Alberto S. Cattaneo and published by . This book was released on 2011-03-30 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alberto S. Cattaneo
Publisher : Springer Science & Business Media
ISBN 13 : 081764735X
Total Pages : 371 pages
Book Rating : 4.8/5 (176 download)
Download or read book Higher Structures in Geometry and Physics written by Alberto S. Cattaneo and published by Springer Science & Business Media. This book was released on 2010-11-25 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is centered around higher algebraic structures stemming from the work of Murray Gerstenhaber and Jim Stasheff that are now ubiquitous in various areas of mathematics— such as algebra, algebraic topology, differential geometry, algebraic geometry, mathematical physics— and in theoretical physics such as quantum field theory and string theory. These higher algebraic structures provide a common language essential in the study of deformation quantization, theory of algebroids and groupoids, symplectic field theory, and much more. Each contribution in this volume expands on the ideas of Gerstenhaber and Stasheff. The volume is intended for post-graduate students, mathematical and theoretical physicists, and mathematicians interested in higher structures.
Author : Tim Maudlin
Publisher : Oxford University Press
ISBN 13 : 0198701306
Total Pages : 374 pages
Book Rating : 4.1/5 (987 download)
Download or read book New Foundations for Physical Geometry written by Tim Maudlin and published by Oxford University Press. This book was released on 2014-02 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tim Maudlin sets out a completely new method for describing the geometrical structure of spaces, and thus a better mathematical tool for describing and understanding space-time. He presents a historical review of the development of geometry and topology, and then his original Theory of Linear Structures.
Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9780821855638
Total Pages : 321 pages
Book Rating : 4.8/5 (556 download)
Download or read book Higher Homotopy Structures in Topology and Mathematical Physics written by and published by American Mathematical Soc.. This book was released on 1999 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mikio Nakahara
Publisher : Taylor & Francis
ISBN 13 : 1420056948
Total Pages : 596 pages
Book Rating : 4.4/5 (2 download)
Download or read book Geometry, Topology and Physics written by Mikio Nakahara and published by Taylor & Francis. This book was released on 2018-10-03 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential geometry and topology have become essential tools for many theoretical physicists. In particular, they are indispensable in theoretical studies of condensed matter physics, gravity, and particle physics. Geometry, Topology and Physics, Second Edition introduces the ideas and techniques of differential geometry and topology at a level suitable for postgraduate students and researchers in these fields. The second edition of this popular and established text incorporates a number of changes designed to meet the needs of the reader and reflect the development of the subject. The book features a considerably expanded first chapter, reviewing aspects of path integral quantization and gauge theories. Chapter 2 introduces the mathematical concepts of maps, vector spaces, and topology. The following chapters focus on more elaborate concepts in geometry and topology and discuss the application of these concepts to liquid crystals, superfluid helium, general relativity, and bosonic string theory. Later chapters unify geometry and topology, exploring fiber bundles, characteristic classes, and index theorems. New to this second edition is the proof of the index theorem in terms of supersymmetric quantum mechanics. The final two chapters are devoted to the most fascinating applications of geometry and topology in contemporary physics, namely the study of anomalies in gauge field theories and the analysis of Polakov's bosonic string theory from the geometrical point of view. Geometry, Topology and Physics, Second Edition is an ideal introduction to differential geometry and topology for postgraduate students and researchers in theoretical and mathematical physics.
Author : Charles Nash
Publisher : Courier Corporation
ISBN 13 : 0486318362
Total Pages : 302 pages
Book Rating : 4.4/5 (863 download)
Download or read book Topology and Geometry for Physicists written by Charles Nash and published by Courier Corporation. This book was released on 2013-08-16 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by physicists for physics students, this text assumes no detailed background in topology or geometry. Topics include differential forms, homotopy, homology, cohomology, fiber bundles, connection and covariant derivatives, and Morse theory. 1983 edition.
Author : Gregory L. Naber
Publisher : Springer Science & Business Media
ISBN 13 : 1441972544
Total Pages : 454 pages
Book Rating : 4.4/5 (419 download)
Download or read book Topology, Geometry and Gauge fields written by Gregory L. Naber and published by Springer Science & Business Media. This book was released on 2010-09-24 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Like any books on a subject as vast as this, this book has to have a point-of-view to guide the selection of topics. Naber takes the view that the rekindled interest that mathematics and physics have shown in each other of late should be fostered, and that this is best accomplished by allowing them to cohabit. The book weaves together rudimentary notions from the classical gauge theory of physics with the topological and geometrical concepts that became the mathematical models of these notions. The reader is asked to join the author on some vague notion of what an electromagnetic field might be, to be willing to accept a few of the more elementary pronouncements of quantum mechanics, and to have a solid background in real analysis and linear algebra and some of the vocabulary of modern algebra. In return, the book offers an excursion that begins with the definition of a topological space and finds its way eventually to the moduli space of anti-self-dual SU(2) connections on S4 with instanton number -1.
Author : Gregory L. Naber
Publisher : Springer Science & Business Media
ISBN 13 : 1475768508
Total Pages : 453 pages
Book Rating : 4.4/5 (757 download)
Download or read book Topology, Geometry, and Gauge Fields written by Gregory L. Naber and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: A study of topology and geometry, beginning with a comprehensible account of the extraordinary and rather mysterious impact of mathematical physics, and especially gauge theory, on the study of the geometry and topology of manifolds. The focus of the book is the Yang-Mills-Higgs field and some considerable effort is expended to make clear its origin and significance in physics. Much of the mathematics developed here to study these fields is standard, but the treatment always keeps one eye on the physics and sacrifices generality in favor of clarity. The author brings readers up the level of physics and mathematics needed to conclude with a brief discussion of the Seiberg-Witten invariants. A large number of exercises are included to encourage active participation on the part of the reader.
Author : Michael Francis Atiyah
Publisher : Cambridge University Press
ISBN 13 : 9780521395540
Total Pages : 112 pages
Book Rating : 4.3/5 (955 download)
Download or read book The Geometry and Physics of Knots written by Michael Francis Atiyah and published by Cambridge University Press. This book was released on 1990-08-23 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes deal with an area that lies at the crossroads of mathematics and physics and rest primarily on the pioneering work of Vaughan Jones and Edward Witten, who related polynomial invariants of knots to a topological quantum field theory in 2+1 dimensions.
Author :
Publisher :
ISBN 13 : 9781282973626
Total Pages : pages
Book Rating : 4.9/5 (736 download)
Download or read book Higher Structures in Geometry and Physics written by and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 : 9814467464
Total Pages : pages
Book Rating : 4.8/5 (144 download)
Download or read book Trends in Differential Geometry, Complex Analysis and Mathematical Physics written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael I. Monastyrsky
Publisher : Springer Science & Business Media
ISBN 13 : 0817647791
Total Pages : 220 pages
Book Rating : 4.8/5 (176 download)
Download or read book Riemann, Topology, and Physics written by Michael I. Monastyrsky and published by Springer Science & Business Media. This book was released on 2009-06-08 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: The significantly expanded second edition of this book combines a fascinating account of the life and work of Bernhard Riemann with a lucid discussion of current interaction between topology and physics. The author, a distinguished mathematical physicist, takes into account his own research at the Riemann archives of Göttingen University and developments over the last decade that connect Riemann with numerous significant ideas and methods reflected throughout contemporary mathematics and physics. Special attention is paid in part one to results on the Riemann–Hilbert problem and, in part two, to discoveries in field theory and condensed matter.
Author : Jürgen Jost
Publisher : Springer Science & Business Media
ISBN 13 : 3642005411
Total Pages : 226 pages
Book Rating : 4.6/5 (42 download)
Download or read book Geometry and Physics written by Jürgen Jost and published by Springer Science & Business Media. This book was released on 2009-08-17 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Geometry and Physics" addresses mathematicians wanting to understand modern physics, and physicists wanting to learn geometry. It gives an introduction to modern quantum field theory and related areas of theoretical high-energy physics from the perspective of Riemannian geometry, and an introduction to modern geometry as needed and utilized in modern physics. Jürgen Jost, a well-known research mathematician and advanced textbook author, also develops important geometric concepts and methods that can be used for the structures of physics. In particular, he discusses the Lagrangians of the standard model and its supersymmetric extensions from a geometric perspective.
Author : Frédéric Bourgeois
Publisher : Springer Science & Business Media
ISBN 13 : 3319020366
Total Pages : 538 pages
Book Rating : 4.3/5 (19 download)
Download or read book Contact and Symplectic Topology written by Frédéric Bourgeois and published by Springer Science & Business Media. This book was released on 2014-03-10 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symplectic and contact geometry naturally emerged from the mathematical description of classical physics. The discovery of new rigidity phenomena and properties satisfied by these geometric structures launched a new research field worldwide. The intense activity of many European research groups in this field is reflected by the ESF Research Networking Programme "Contact And Symplectic Topology" (CAST). The lectures of the Summer School in Nantes (June 2011) and of the CAST Summer School in Budapest (July 2012) provide a nice panorama of many aspects of the present status of contact and symplectic topology. The notes of the minicourses offer a gentle introduction to topics which have developed in an amazing speed in the recent past. These topics include 3-dimensional and higher dimensional contact topology, Fukaya categories, asymptotically holomorphic methods in contact topology, bordered Floer homology, embedded contact homology, and flexibility results for Stein manifolds.
Author : Peter Szekeres
Publisher : Cambridge University Press
ISBN 13 : 9780521829601
Total Pages : 620 pages
Book Rating : 4.8/5 (296 download)
Download or read book A Course in Modern Mathematical Physics written by Peter Szekeres and published by Cambridge University Press. This book was released on 2004-12-16 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook, first published in 2004, provides an introduction to the major mathematical structures used in physics today.
