Low Dimensional Topology And Quantum Field Theory
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Low Dimensional Topology And Quantum Field Theory
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Author : Hugh Osborn
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Low Dimensional Topology And Quantum Field Theory written by Hugh Osborn and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Science categories.
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.
Geometric And Topological Methods For Quantum Field Theory
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Author : Hernan Ocampo
language : en
Publisher: Cambridge University Press
Release Date : 2010-04-29
Geometric And Topological Methods For Quantum Field Theory written by Hernan Ocampo and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-29 with Science categories.
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.
Topology Geometry And Field Theory
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Author :
language : en
Publisher:
Release Date : 1994
Topology Geometry And Field Theory written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with MATHEMATICS categories.
Low Dimensional Topology
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Author : Hanna Nencka
language : en
Publisher: American Mathematical Soc.
Release Date : 1999
Low Dimensional Topology written by Hanna Nencka and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
"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.
Intelligence Of Low Dimensional Topology 2006
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Author : J. Scott Carter
language : en
Publisher: World Scientific
Release Date : 2007
Intelligence Of Low Dimensional Topology 2006 written by J. Scott Carter and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Science categories.
This volume gathers the contributions from the international conference ?Intelligence of Low Dimensional Topology 2006,? which took place in Hiroshima in 2006. The aim of this volume is to promote research in low dimensional topology with the focus on knot theory and related topics. The papers include comprehensive reviews and some latest results.
Algebraic And Geometric Methods In Mathematical Physics
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Author : Anne Boutet de Monvel
language : en
Publisher: Springer Science & Business Media
Release Date : 1996-01-31
Algebraic And Geometric Methods In Mathematical Physics written by Anne Boutet de Monvel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-01-31 with Science categories.
Proceedings of the Kaciveli Summer School, Crimea, Ukraine, 1993
Topology Geometry And Field Theory Proceedings Of The 31st International Taniguchi Symposium And Proceedings Of The Conference
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Author : Kenji Fukaya
language : en
Publisher: World Scientific
Release Date : 1994-08-31
Topology Geometry And Field Theory Proceedings Of The 31st International Taniguchi Symposium And Proceedings Of The Conference written by Kenji Fukaya and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-08-31 with categories.
Nobel Symposium 129 on Neutrino Physics was held at Haga Slott in Enköping, Sweden during August 19-24, 2004. Invited to the symposium were around 40 globally leading researchers in the field of neutrino physics, both experimental and theoretical.The dominant theme of the lectures was neutrino oscillations, which after several years were recently verified by results from the Super-Kamiokande detector in Kamioka, Japan and the SNO detector in Sudbury, Canada. Discussion focused especially on effects of neutrino oscillations derived from the presence of matter and the fact that three different neutrinos exist. Since neutrino oscillations imply that neutrinos have mass, this is the first experimental observation that fundamentally deviates from the standard model of particle physics. This is a challenge to both theoretical and experimental physics. The various oscillation parameters will be determined with increased precision in new, specially designed experiments. Theoretical physics is working intensively to insert the knowledge that neutrinos have mass into the theoretical models that describe particle physics. The lectures provided a very good description of the intensive situation in the field right now. The topics discussed also included mass models for neutrinos, neutrinos in extra dimensions as well as the “seesaw mechanism,” which provides a good description of why neutrino masses are so small.This book is A4 size and in full color.
Frontiers Of Science In Celebration Of The 80th Birthday Of C N Yang
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Author : Hwa-tung Nieh
language : en
Publisher: World Scientific
Release Date : 2003-09-15
Frontiers Of Science In Celebration Of The 80th Birthday Of C N Yang written by Hwa-tung Nieh and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-09-15 with Science categories.
The International Symposium on Frontiers of Science was held to celebrate the 80th birthday of Chen Ning Yang, one of the great physicists of the 20th century and arguably the most-admired living scientist in China today. Many of the world's great scientists — including sixteen Nobel laureates, Fields medallists and Wolf Prize winners — converged on Beijing from all corners of the globe to pay tribute to Professor Yang.The Symposium was organized by Tsinghua University, with which Professor Yang has had a lifelong relationship. In 1997, he helped to found the Center for Advanced Study at Tsinghua, was appointed to the university's faculty, and has since devoted his energy to the growth of the Center.This unique and invaluable birthday volume is a collection of the presentations made at the Symposium, including fifteen plenary talks, seven of which are by Nobel laureates. It covers a wide range of topics and mirrors Professor Yang's research and intellectual interests. The range of fields encompasses high-energy, condensed-matter, mathematical, applied, bio-, astro-, atomic and quantum physics. Also included are talks given at the birthday banquet.About C N YangBorn in 1922 in Anwhei, China, C N Yang was brought up in the academic atmosphere of Tsinghua University in Beijing, where his father was a professor of mathematics. He received his college education at the National Southwest Associated University in Kunming, China, and completed his BSc there in 1942. His MSc was received in 1944 from Tsinghua University. He entered the University of Chicago in 1946, where he came under the strong influence of Prof E Fermi. After receiving his PhD in 1948, Prof Yang served for a year at the University of Chicago as an instructor. Since 1949 he has been associated with the Institute for Advanced Study, Princeton, where he became a professor in 1955.Prof Yang has worked on various subjects in physics, but is mainly interested in statistical mechanics and symmetry principles. He is a prolific author, his numerous articles appearing in the Bulletin of the American Mathematical Society, The Physical Review, Reviews of Modern Physics and the Chinese Journal of Physics.Prof Yang won the Nobel Prize in Physics in 1957, jointly with T-D Lee. He has been elected a Fellow of the American Physical Society and of Academia Sinica.
Proceedings Of The International Symposium On Frontiers Of Science
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Author : Chen Ning Yang
language : en
Publisher: World Scientific
Release Date : 2003
Proceedings Of The International Symposium On Frontiers Of Science written by Chen Ning Yang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Science categories.
The International Symposium on Frontiers of Science was held to celebrate the 80th birthday of Chen Ning Yang, one of the great physicists of the 20th century and arguably the most-admired living scientist in China today. Many of the world's great scientists ? including sixteen Nobel laureates, Fields medallists and Wolf Prize winners ? converged on Beijing from all corners of the globe to pay tribute to Professor Yang.The Symposium was organized by Tsinghua University, with which Professor Yang has had a lifelong relationship. In 1997, he helped to found the Center for Advanced Study at Tsinghua, was appointed to the university's faculty, and has since devoted his energy to the growth of the Center.This unique and invaluable birthday volume is a collection of the presentations made at the Symposium, including fifteen plenary talks, seven of which are by Nobel laureates. It covers a wide range of topics and mirrors Professor Yang's research and intellectual interests. The range of fields encompasses high-energy, condensed-matter, mathematical, applied, bio-, astro-, atomic and quantum physics. Also included are talks given at the birthday banquet.About C N YangBorn in 1922 in Anwhei, China, C N Yang was brought up in the academic atmosphere of Tsinghua University in Beijing, where his father was a professor of mathematics. He received his college education at the National Southwest Associated University in Kunming, China, and completed his BSc there in 1942. His MSc was received in 1944 from Tsinghua University. He entered the University of Chicago in 1946, where he came under the strong influence of Prof E Fermi. After receiving his PhD in 1948, Prof Yang served for a year at the University of Chicago as an instructor. Since 1949 he has been associated with the Institute for Advanced Study, Princeton, where he became a professor in 1955.Prof Yang has worked on various subjects in physics, but is mainly interested in statistical mechanics and symmetry principles. He is a prolific author, his numerous articles appearing in the Bulletin of the American Mathematical Society, The Physical Review, Reviews of Modern Physics and the Chinese Journal of Physics.Prof Yang won the Nobel Prize in Physics in 1957, jointly with T-D Lee. He has been elected a Fellow of the American Physical Society and of Academia Sinica.
Differential And Low Dimensional Topology
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Author : András Juhász
language : en
Publisher: Cambridge University Press
Release Date : 2023-04-20
Differential And Low Dimensional Topology written by András Juhász and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-20 with Mathematics categories.
The new student in differential and low-dimensional topology is faced with a bewildering array of tools and loosely connected theories. This short book presents the essential parts of each, enabling the reader to become 'literate' in the field and begin research as quickly as possible. The only prerequisite assumed is an undergraduate algebraic topology course. The first half of the text reviews basic notions of differential topology and culminates with the classification of exotic seven-spheres. It then dives into dimension three and knot theory. There then follows an introduction to Heegaard Floer homology, a powerful collection of modern invariants of three- and four-manifolds, and of knots, that has not before appeared in an introductory textbook. The book concludes with a glimpse of four-manifold theory. Students will find it an exhilarating and authoritative guide to a broad swathe of the most important topics in modern topology.