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by Toshitake Kohno
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Mathematics
  • Author:
    Toshitake Kohno
  • ISBN:
    082182130X
  • ISBN13:
    978-0821821305
  • Genre:
  • Publisher:
    American Mathematical Society; UK ed. edition (March 1, 2002)
  • Pages:
    184 pages
  • Subcategory:
    Mathematics
  • Language:
  • FB2 format
    1474 kb
  • ePUB format
    1588 kb
  • DJVU format
    1223 kb
  • Rating:
    4.2
  • Votes:
    820
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One of the most remarkable interactions between geometry and physics since 1980 has been an application of quantum field theory to topology and differential geometry.

One of the most remarkable interactions between geometry and physics since 1980 has been an application of quantum field theory to topology and differential geometry. An essential difficulty in quantum field theory comes from freedom of a system. Techniques dealing with such objects developed in the framework of quantum field theory have been influential in geometry as well.

Conformal Field Theory a. .has been added to your Cart. The author explains precisely what is required for each result and no more. I particularly liked his definitions of conformal blocks and chiral vertex operators. They were much clearer than those given in conformal field theory papers. 9 people found this helpful.

This book focuses on a relationship between two-dimensional quantum field theory and three-dimensional topology which has been studied intensively since the discovery of the Jones polynomial in the middle. ISBN13:9780821821305.

Start by marking Conformal Field Theory and Topology as Want to Read .

Start by marking Conformal Field Theory and Topology as Want to Read: Want to Read savin. ant to Read. This book focuses on a relationship between two-dimensional quantum field theory and three-dimensional topology which has been s Geometry and physics have been developed with a strong influence on each other. One of the most remarkable interactions between geometry and physics since 1980 has been an application of quantum field theory to topology and differential geometry.

Finding books BookSee BookSee - Download books for free. Conformal Field Theory and Topology. 4 Mb. Primes and knots. Toshitake Kohno and Masanori Morishita. Category: Geometry and topology. 1 Mb. Category: Mathematical physics.

A conformal field theory (CFT) is a quantum field theory that is invariant under conformal transformations

A conformal field theory (CFT) is a quantum field theory that is invariant under conformal transformations. In two dimensions, there is an algebra of local conformal transformations, and conformal field theories can sometimes be exactly solved or classified. Conformal field theory has important applications to condensed matter physics, statistical mechanics, quantum statistical mechanics, and string theory.

Graduate School of Mathematical Sciences. Conformal field theory and topology, Translations of Mathematical Monographs, Volume 210 American Mathematical Society, 2002, 182 pages. The University of Tokyo, Japan. Department of Mathematics, Faculty of Science, Nagoya University, Japan. Loop spaces of configuration spaces and finite type invariants, Geometry and Topology Monographs, 4, (2002), 143–160. The volume of a hyperbolic simplex and iterated integrals, Series on Knots and Everything 40 (2007) 179–188.

Author: Toshitake Kohno.

бесплатно, без регистрации и без смс. This reprint volume focuses on recent developments in knot theory arising from mathematical physics, especially solvable lattice models, Yang-Baxter equation, quantum group and two dimensional conformal field th. This reprint volume focuses on recent developments in knot theory arising from mathematical physics, especially solvable lattice models, Yang-Baxter equation, quantum group and two dimensional conformal field theory. This volume is helpful to topologists and mathematical physicists because existing articles are scattered in journals of many different domains including Mathematics and Physics. This volume will give an excellent perspective on these new developments in Topology inspired by mathematical physics

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One of the most remarkable interactions between geometry and physics since 1980 has been an application of quantum field theory to topology and differential geometry. An essential difficulty in quantum field theory comes from infinite-dimensional freedom of a system. Techniques dealing with such infinite-dimensional objects developed in the framework of quantum field theory have been influential in geometry as well. This book focuses on the relationship between two-dimensional quantum field theory and three-dimensional topology which has been studied intensively since the discovery of the Jones polynomial in the middle of the 1980s and Witten's invariant for 3-manifolds which was derived from Chern-Simons gauge theory. This book gives an accessible treatment for a rigorous construction of topological invariants originally defined as partition functions of fields on manifolds. The book is organized as follows: The Introduction starts from classical mechanics and explains basic background materials in quantum field theory and geometry. Chapter 1 presents conformal field theory based on the geometry of loop groups. Chapter 2 deals with the holonomy of conformal field theory. Chapter 3 treats Chern-Simons perturbation theory. The final chapter discusses topological invariants for 3-manifolds derived from Chern-Simons perturbation theory.