Last edited by Arashizahn
Tuesday, August 4, 2020 | History

8 edition of Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners (Lecture Notes in Mathematics) found in the catalog.

Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners (Lecture Notes in Mathematics)

by Thomas Kerler

  • 47 Want to read
  • 9 Currently reading

Published by Springer .
Written in English

    Subjects:
  • Algebra,
  • Mathematics for scientists & engineers,
  • Relativistic quantum mechanics & quantum field theory,
  • Riemannian Manifolds,
  • Science,
  • Science/Mathematics,
  • Algebra - General,
  • General,
  • Waves & Wave Mechanics,
  • Hopf algebras,
  • Mathematics / Algebra / General,
  • Topology,
  • categories,
  • Geometry - Differential,
  • Quantum Theory,
  • Mathematical Physics,
  • Quantum Field Theory,
  • Three-manifolds (Topology)

  • The Physical Object
    FormatPaperback
    Number of Pages379
    ID Numbers
    Open LibraryOL12774880M
    ISBN 103540424164
    ISBN 109783540424161

    Based on a detailed definition of extended homotopy quantum field theories we develop a field-theoretic orbifold construction for these theories when the target space is the classifying space of a finite group G, i.e. for G-equivariant topological field precisely, we use a recently developed bicategorical version of the parallel section functor to associate to an extended Cited by: 4. Simulation of Topological Field Theories by Quantum Computers (2) The algebraic axiom is usually omitted, but holds for all known examples. We include it to avoid trivialities such as a UTMF where action by, say, a boundary twist is multiplication by a real number whose binary expansion encodes a difficult or even uncomputable function: e Cited by:

    Following my plenary lecture on ICMP I review my results concerning two closely related topics: topological quantum field theories and the problem of quantization of gauge : Albert Schwarz. Anyons may be described in the framework of topological quantum field theory (TQFT), which originates from Witten’s paper on quantum Chern-Simons fields [5] and the work of Moore and Seiberg on conformal field theory [4]. Important mathematical studies in this area were done by Reshetikhin and Turaev [66] and Walker [67].

    II. Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners, Lect. Notes in Math., vol. , Springer-Verlag, Heidelberg, , vi+ p. (with T. Kerler), In this book we describe extended topological quantum eld theories (TQFT’s) as double. A topological quantum field theory is a quantum field theory which – as a functorial quantum field theory – is a functor on a flavor of the (∞,n)-category of cobordisms Bord n S Bord_n^S, where the n-morphisms are cobordisms without any non-topological further structure S S – for instance no Riemannian metric structure – but possibly.


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Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners (Lecture Notes in Mathematics) by Thomas Kerler Download PDF EPUB FB2

Buy Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners (Lecture Notes in Mathematics) on FREE SHIPPING on qualified ordersCited by: Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners. Authors (view affiliations) Search within book.

Front Matter. Pages I-VI. PDF. Introduction and Summary of Results. From Quantum Field Theory to Axiomatics. Pages Double Categories and Double Functors.

Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners Authors: Kerler, Thomas, Lyubashenko, Volodymyr V. Free Preview. Get this from a library. Non-semisimple topological quantum field theories for 3-manifolds with corners. [Thomas Kerler; Volodymyr V Lyubashenko].

Get this from a library. Non-semisimple topological quantum field theories for 3-manifolds with corners. [Thomas Kerler; Volodymyr V Lyubashenko] -- This book presents the (to date) most general approach to combinatorial constructions of topological quantum field theories (TQFTs) in three dimensions.

The authors describe extended TQFTs as double. Get this from a library. Non-semisimple topological quantum field theories for 3-manifolds with corners. [Thomas Kerler; Volodymyr Lyubashenko]. () From Quantum Field Theory to Axiomatics. In: Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners.

Lecture Notes in Mathematics, vol Non Semisimple Topological Quantum Field Theories For 3 Manifolds With Corners Base de datos de todas episodio Non Semisimple Topological Quantum Field Theories For 3 Manifolds With Corners Estos datos libro es el mejor ranking.

Title: Topological Quantum Field Theories, Strings, and Orbifolds. Authors: Ernesto Lupercio, Bernardo Uribe. Download PDF Abstract: In this expository paper written for physicists and geometers we introduce the notions of TQFT and of orbifold.

Then we survey the construction of TQFT's originating from orbifolds such as Chen-Ruan theory and Cited by: 3. I think it might be worth pointing out that there are two kinds of topological quantum field theory, (Albert) Schwarz-type theories and Witten-type theories.

In Schwarz type theories (like Chern-Simons theory and BF-theory), you have an action which is explicitly independent of the metric and you expect that the correlation functions computed. Non-semisimple topological quantum field theories for 3-manifolds with corners.

Berlin ; New York: Springer, © (DLC) Material Type: Document, Internet resource: Document Type: Internet Resource, Computer File: All Authors / Contributors: Thomas Kerler; Volodymyr V Lyubashenko. Non-semisimple topological quantum field theories for 3-manifolds with corners By Thomas Kerler and Volodymyr V Lyubashenko No static citation data No static citation data CiteCited by:   () Introduction and Summary of Results.

In: Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners. Lecture Notes in Mathematics, vol The author, following on from his previous work (Nash/Sen: Differential Topology for Physicists, Academic Press, ), covers ellipitc differential and pseudo-differential operators, Atiyah-singer Index theory, Morse theory, instanntons and monopoles, topological quantum field theory, string theory and knot by: 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 : Walter de Gruyter Inc. Topological Quantum Field Theories and Operator Algebras 3-manifolds, but also topological quantum field theories of dimension 3, in the sense of Atiyah [2], as the title of this paper shows, but for simplicity of expositions, we book [11] is a basic reference.

Our operator algebra here is a so-called von Neumann algebra, which is an al. Topological Quantum Field Theory Vladimir G. Ivancevic∗ Tijana T. Ivancevic† Abstract These third–year lecture notes are designed for a 1–semester course in topological quantum field theory (TQFT).

Assumed background in mathematics and physics are only standard second–year subjects: multivariable calculus, introduction to quantumFile Size: KB. Feher et al (eds.), Topological Quantum Field Theories and Geometry of Loop Spaces.

Kauffman, Baadhio, Quantum Topology (unfree) Kerler, Lyubashenko, Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners (unfree) Kock, Frobenius Algebras and 2D Topological Quantum Field Theories (unfree).

() Tangle-Categories and Presentation of Cobordisms. In: Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners.

Lecture Notes in. () The Double Category of Framed, Relative 3-Cobordisms. In: Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners. Lecture Notes in. The present book is the first of its kind in dealing with topological quantum field theories and their applications to topological aspects of four manifolds.

It is not only unique for this reason but also because it contains sufficient introductory material that it can be Cited by: Topological Quantum Field Theory and Four Manifolds (Mathematical Physics Studies Book 25) - Kindle edition by Labastida, Jose, Marino, Marcos.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Topological Quantum Field Theory and Four Manifolds (Mathematical Physics Studies Book 25).Price: $  Purchase Differential Topology and Quantum Field Theory - 1st Edition.

Print Book & E-Book. ISBNBook Edition: 1.