Introduction To Subfactors
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Introduction To Subfactors
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Author : Vaughan F. R. Jones
language : en
Publisher: Cambridge University Press
Release Date : 1997-05-15
Introduction To Subfactors written by Vaughan F. R. Jones 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 1997-05-15 with Mathematics categories.
Subfactors have been a subject of considerable research activity for about 15 years and are known to have significant relations with other fields such as low dimensional topology and algebraic quantum field theory. These notes give an introduction to the subject suitable for a student who has only a little familiarity with the theory of Hilbert space. A new pictorial approach to subfactors is presented in a late ch apter.
Introduction To Subfactors
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Author : V. Jones
language : en
Publisher:
Release Date : 1997
Introduction To Subfactors written by V. Jones and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Electronic books categories.
These notes give an introduction to subfactors suitable for newcomers to the field.
The Classification Of Subfactors With Index At Most 5 Frac 1 4
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Author : Narjess Afzaly
language : en
Publisher: American Mathematical Society
Release Date : 2023-04-07
The Classification Of Subfactors With Index At Most 5 Frac 1 4 written by Narjess Afzaly and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-07 with Mathematics categories.
View the abstract.
Subfactors And Knots
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Author : Vaughan F. R. Jones
language : en
Publisher: American Mathematical Soc.
Release Date :
Subfactors And Knots written by Vaughan F. R. Jones 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 with Mathematics categories.
This book is based on a set of lectures presented by the author at the NSF-CBMS Regional Conference, Applications of Operator Algebras to Knot Theory and Mathematical Physics, held at the US Naval Academy in Annapolis in June 1988. The audience consisted of low-dimensional topologists and operator algebraists, so the speaker attempted to make the material comprehensible to both groups. He provides an extensive introduction to the theory of von Neumann algebras and to knot theory and braid groups. The presentation follows the historical development of the theory of subfactors and the ensuing applications to knot theory, including full proofs of some of the major results. The author treats in detail the Homfly and Kauffman polynomials, introduces statistical mechanical methods on knot diagrams, and attempts an analogy with conformal field theory. Written by one of the foremost mathematicians of the day, this book will give readers an appreciation of the unexpected interconnections between different parts of mathematics and physics.
Operator Algebras And Their Applications
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Author : Peter A. Fillmore
language : en
Publisher: American Mathematical Soc.
Release Date :
Operator Algebras And Their Applications written by Peter A. Fillmore 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 with Mathematics categories.
The study of operator algebras, which grew out of von Neumann's work in the 1920s and the 1930s on modelling quantum mechanics, has in recent years experienced tremendous growth and vitality. This growth has resulted in significant applications in other areas - both within and outside mathematics. The field was a natural candidate for a 1994-1995 program year in Operator Algebras and Applications held at The Fields Institute for Research in the Mathematical Sciences. This volume contains a selection of papers that arose from the seminars and workshops of the program. Topics covered include the classification of amenable C*-algebras, the Baum-Connes conjecture, E[subscript 0] semigroups, subfactors, E-theory, quasicrystals, and the solution to a long-standing problem in operator theory: Can almost commuting self-adjoint matrices be approximated by commuting self-adjoint matrices?
Classification Of Subfactors And Their Endomorphisms
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Author : Sorin Popa
language : en
Publisher: American Mathematical Soc.
Release Date : 1995
Classification Of Subfactors And Their Endomorphisms written by Sorin Popa 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 1995 with Mathematics categories.
This monograph provides a more unifed and self-contained presentation of the results presented in Popa's earlier papers on this topic. "Classifications of Subfactors and Their Endomorphisms" is based on lectures presented by Popa at the NSF-CBMS Regional Conference held in Eugene, Oregon, in August, 1993.
Topological Quantum Field Theories From Subfactors
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Author : Vijay Kodiyalam
language : en
Publisher: CRC Press
Release Date : 2019-05-20
Topological Quantum Field Theories From Subfactors written by Vijay Kodiyalam and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-20 with Mathematics categories.
Pure mathematicians have only recently begun a rigorous study of topological quantum field theories (TQFTs). Ocneanu, in particular, showed that subfactors yield TQFTs that complement the Turaev-Viro construction. Until now, however, it has been difficult to find an account of this work that is both detailed and accessible. Topological Quant
Quantum Invariants Of Knots And 3 Manifolds
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Author : Vladimir G. Turaev
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2016-07-11
Quantum Invariants Of Knots And 3 Manifolds written by Vladimir G. Turaev and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-11 with Mathematics categories.
Due to the strong appeal and wide use of this monograph, it is now available in its third revised edition. The monograph gives a systematic treatment of 3-dimensional topological quantum field theories (TQFTs) based on the work of the author with N. Reshetikhin and O. Viro. This subject was inspired by the discovery of the Jones polynomial of knots and the Witten-Chern-Simons field theory. On the algebraic side, the study of 3-dimensional TQFTs has been influenced by the theory of braided categories and the theory of quantum groups. The book is divided into three parts. Part I presents a construction of 3-dimensional TQFTs and 2-dimensional modular functors from so-called modular categories. This gives a vast class of knot invariants and 3-manifold invariants as well as a class of linear representations of the mapping class groups of surfaces. In Part II the technique of 6j-symbols is used to define state sum invariants of 3-manifolds. Their relation to the TQFTs constructed in Part I is established via the theory of shadows. Part III provides constructions of modular categories, based on quantum groups and skein modules of tangles in the 3-space. This fundamental contribution to topological quantum field theory is accessible to graduate students in mathematics and physics with knowledge of basic algebra and topology. It is an indispensable source for everyone who wishes to enter the forefront of this fascinating area at the borderline of mathematics and physics. Contents: Invariants of graphs in Euclidean 3-space and of closed 3-manifolds Foundations of topological quantum field theory Three-dimensional topological quantum field theory Two-dimensional modular functors 6j-symbols Simplicial state sums on 3-manifolds Shadows of manifolds and state sums on shadows Constructions of modular categories
Finite Von Neumann Algebras And Masas
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Author : Allan Sinclair
language : en
Publisher: Cambridge University Press
Release Date : 2008-06-26
Finite Von Neumann Algebras And Masas written by Allan Sinclair 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 2008-06-26 with Mathematics categories.
The first book devoted to the general theory of finite von Neumann algebras.
Subfactors Planar Algebras And Rotations
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Author : Michael E. Burns
language : en
Publisher:
Release Date : 2003
Subfactors Planar Algebras And Rotations written by Michael E. Burns and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.