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Low-Dimensional Topology and Quantum Field Theory

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Release : 2013-11-11
Genre : Science
Kind : eBook
Book Rating : 121/5 ( reviews)

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Book Synopsis Low-Dimensional Topology and Quantum Field Theory by : Hugh Osborn

Download or read book Low-Dimensional Topology and Quantum Field Theory written by Hugh Osborn. This book was released on 2013-11-11. Available in PDF, EPUB and Kindle. Book excerpt: The motivations, goals and general culture of theoretical physics and mathematics are different. Most practitioners of either discipline have no necessity for most of the time to keep abreast of the latest developments in the other. However on occasion newly developed mathematical concepts become relevant in theoretical physics and the less rigorous theoretical physics framework may prove valuable in understanding and suggesting new theorems and approaches in pure mathematics. Such interdis ciplinary successes invariably cause much rejoicing, as over a prodigal son returned. In recent years the framework provided by quantum field theory and functional in tegrals, developed over half a century in theoretical physics, have proved a fertile soil for developments in low dimensional topology and especially knot theory. Given this background it was particularly pleasing that NATO was able to generously sup port an Advanced Research Workshop to be held in Cambridge, England from 6th to 12th September 1992 with the title Low Dimensional Topology and Quantum Field Theory. Although independently organised this overlapped as far as some speak ers were concerned with a longer term programme with the same title organised by Professor M Green, Professor E Corrigan and Dr R Lickorish. The contents of this proceedings of the workshop demonstrate the breadth of topics now of interest on the interface between theoretical physics and mathematics as well as the sophistication of the mathematical tools required in current theoretical physics.

Topology, Geometry, and Field Theory

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Author :
Release : 1994
Genre : MATHEMATICS
Kind : eBook
Book Rating : 086/5 ( reviews)

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Book Synopsis Topology, Geometry, and Field Theory by :

Download or read book Topology, Geometry, and Field Theory written by . This book was released on 1994. Available in PDF, EPUB and Kindle. Book excerpt:

Low-dimensional Quantum Field Theories For Condensed Matter Physicists - Lecture Notes Of Ictp Summer Course

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Release : 1995-02-28
Genre :
Kind : eBook
Book Rating : 831/5 ( reviews)

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Book Synopsis Low-dimensional Quantum Field Theories For Condensed Matter Physicists - Lecture Notes Of Ictp Summer Course by : Lu Yu

Download or read book Low-dimensional Quantum Field Theories For Condensed Matter Physicists - Lecture Notes Of Ictp Summer Course written by Lu Yu. This book was released on 1995-02-28. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a set of pedagogical reviews covering the most recent applications of low-dimensional quantum field theory in condensed matter physics, written by experts who have made major contributions to this rapidly developing field of research. The main purpose is to introduce active young researchers to new ideas and new techniques which are not covered by the standard textbooks.

Geometric and Topological Methods for Quantum Field Theory

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Release : 2010-04-29
Genre : Science
Kind : eBook
Book Rating : 73X/5 ( reviews)

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Book Synopsis Geometric and Topological Methods for Quantum Field Theory by : Hernan Ocampo

Download or read book Geometric and Topological Methods for Quantum Field Theory written by Hernan Ocampo. This book was released on 2010-04-29. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at graduate students in physics and mathematics, this book provides an introduction to recent developments in several active topics at the interface between algebra, geometry, topology and quantum field theory. The first part of the book begins with an account of important results in geometric topology. It investigates the differential equation aspects of quantum cohomology, before moving on to noncommutative geometry. This is followed by a further exploration of quantum field theory and gauge theory, describing AdS/CFT correspondence, and the functional renormalization group approach to quantum gravity. The second part covers a wide spectrum of topics on the borderline of mathematics and physics, ranging from orbifolds to quantum indistinguishability and involving a manifold of mathematical tools borrowed from geometry, algebra and analysis. Each chapter presents introductory material before moving on to more advanced results. The chapters are self-contained and can be read independently of the rest.

Low Dimensional Topology

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Author :
Release : 1999
Genre : Mathematics
Kind : eBook
Book Rating : 842/5 ( reviews)

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Book Synopsis Low Dimensional Topology by : Hanna Nencka

Download or read book Low Dimensional Topology written by Hanna Nencka. This book was released on 1999. Available in PDF, EPUB and Kindle. Book excerpt: "The book has two main parts. The first is devoted to the Poincare conjecture, characterizations of PL-manifolds, covering quadratic forms of links and to categories in low dimensional topology that appear in connection with conformal and quantum field theory.

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