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Publisher : American Mathematical Soc.
ISBN 13 : 9780821855638
Total Pages : 321 pages
Book Rating : 4.38/5 ( 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 : James D. Stasheff
Publisher : American Mathematical Soc.
ISBN 13 : 082180913X
Total Pages : 338 pages
Book Rating : 4.36/5 ( 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 338 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.
Author : D.B. Fuchs
Publisher : Springer Science & Business Media
ISBN 13 : 9783540519966
Total Pages : 276 pages
Book Rating : 4.63/5 ( download)
Download or read book Topology II written by D.B. Fuchs and published by Springer Science & Business Media. This book was released on 2003-10-27 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two top experts in topology, O.Ya. Viro and D.B. Fuchs, give an up-to-date account of research in central areas of topology and the theory of Lie groups. They cover homotopy, homology and cohomology as well as the theory of manifolds, Lie groups, Grassmanians and low-dimensional manifolds. Their book will be used by graduate students and researchers in mathematics and mathematical physics.
Author : Carlos Simpson
Publisher : Cambridge University Press
ISBN 13 : 1139502190
Total Pages : 653 pages
Book Rating : 4.91/5 ( download)
Download or read book Homotopy Theory of Higher Categories written by Carlos Simpson and published by Cambridge University Press. This book was released on 2011-10-20 with total page 653 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of higher categories is attracting growing interest for its many applications in topology, algebraic geometry, mathematical physics and category theory. In this highly readable book, Carlos Simpson develops a full set of homotopical algebra techniques and proposes a working theory of higher categories. Starting with a cohesive overview of the many different approaches currently used by researchers, the author proceeds with a detailed exposition of one of the most widely used techniques: the construction of a Cartesian Quillen model structure for higher categories. The fully iterative construction applies to enrichment over any Cartesian model category, and yields model categories for weakly associative n-categories and Segal n-categories. A corollary is the construction of higher functor categories which fit together to form the (n+1)-category of n-categories. The approach uses Tamsamani's definition based on Segal's ideas, iterated as in Pelissier's thesis using modern techniques due to Barwick, Bergner, Lurie and others.
Author : Alberto S. Cattaneo
Publisher : Springer Science & Business Media
ISBN 13 : 081764735X
Total Pages : 371 pages
Book Rating : 4.53/5 ( 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 : D.B. Fuchs
Publisher : Springer Science & Business Media
ISBN 13 : 3662105810
Total Pages : 264 pages
Book Rating : 4.18/5 ( download)
Download or read book Topology II written by D.B. Fuchs and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two top experts in topology, O.Ya. Viro and D.B. Fuchs, give an up-to-date account of research in central areas of topology and the theory of Lie groups. They cover homotopy, homology and cohomology as well as the theory of manifolds, Lie groups, Grassmanians and low-dimensional manifolds. Their book will be used by graduate students and researchers in mathematics and mathematical physics.
Author : Martin Markl
Publisher : American Mathematical Soc.
ISBN 13 : 0821843621
Total Pages : 362 pages
Book Rating : 4.28/5 ( download)
Download or read book Operads in Algebra, Topology and Physics written by Martin Markl and published by American Mathematical Soc.. This book was released on 2002 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Operads are mathematical devices which describe algebraic structures of many varieties and in various categories. From their beginnings in the 1960s, they have developed to encompass such areas as combinatorics, knot theory, moduli spaces, string field theory and deformation quantization.
Author : D.B. Fuchs
Publisher : Springer
ISBN 13 : 9783662105825
Total Pages : 258 pages
Book Rating : 4.29/5 ( download)
Download or read book Topology II written by D.B. Fuchs and published by Springer. This book was released on 2013-01-22 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two top experts in topology, O.Ya. Viro and D.B. Fuchs, give an up-to-date account of research in central areas of topology and the theory of Lie groups. They cover homotopy, homology and cohomology as well as the theory of manifolds, Lie groups, Grassmanians and low-dimensional manifolds. Their book will be used by graduate students and researchers in mathematics and mathematical physics.
Author : M. Monastyrsky
Publisher : Springer Science & Business Media
ISBN 13 : 1489924035
Total Pages : 372 pages
Book Rating : 4.32/5 ( download)
Download or read book Topology of Gauge Fields and Condensed Matter written by M. Monastyrsky and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: ''Intended mainly for physicists and mathematicians...its high quality will definitely attract a wider audience.'' ---Computational Mathematics and Mathematical Physics This work acquaints the physicist with the mathematical principles of algebraic topology, group theory, and differential geometry, as applicable to research in field theory and the theory of condensed matter. Emphasis is placed on the topological structure of monopole and instanton solution to the Yang-Mills equations, the description of phases in superfluid 3He, and the topology of singular solutions in 3He and liquid crystals.
Author : Michael I. Monastyrsky
Publisher : Springer Science & Business Media
ISBN 13 : 0817647791
Total Pages : 220 pages
Book Rating : 4.97/5 ( 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.
