Asymptotic Expansions of Quantum Invariants and a Zeta-function of a Knot

Asymptotic Expansions of Quantum Invariants and a Zeta-function of a Knot PDF Author: Jeffrey M. Sink
Publisher:
ISBN:
Category :
Languages : en
Pages : 260

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Asymptotic Expansions of Quantum Invariants and a Zeta-function of a Knot

Asymptotic Expansions of Quantum Invariants and a Zeta-function of a Knot PDF Author: Jeffrey M. Sink
Publisher:
ISBN:
Category :
Languages : en
Pages : 260

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Quantum Invariants: A Study Of Knots, 3-manifolds, And Their Sets

Quantum Invariants: A Study Of Knots, 3-manifolds, And Their Sets PDF Author: Tomotada Ohtsuki
Publisher: World Scientific
ISBN: 9814490717
Category : Mathematics
Languages : en
Pages : 508

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Book Description
This book provides an extensive and self-contained presentation of quantum and related invariants of knots and 3-manifolds. Polynomial invariants of knots, such as the Jones and Alexander polynomials, are constructed as quantum invariants, i.e. invariants derived from representations of quantum groups and from the monodromy of solutions to the Knizhnik-Zamolodchikov equation. With the introduction of the Kontsevich invariant and the theory of Vassiliev invariants, the quantum invariants become well-organized. Quantum and perturbative invariants, the LMO invariant, and finite type invariants of 3-manifolds are discussed. The Chern-Simons field theory and the Wess-Zumino-Witten model are described as the physical background of the invariants.

Sir Michael Atiyah

Sir Michael Atiyah PDF Author: Michael Francis Atiyah
Publisher: American Mathematical Society(RI)
ISBN:
Category : Mathematics
Languages : en
Pages : 416

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Book Description
A concis, yet comprehensive introduction to the contemporary politics of Latin America, this book focuses on the enduring difficulties of achieving democratic stability. It explores the conduct of government through classic concepts like authority, accountability, and participation. These themes are developed within a comparative perspective.

The Asian Journal of Mathematics

The Asian Journal of Mathematics PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 616

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Dissertation Abstracts International

Dissertation Abstracts International PDF Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 806

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Geometry and Physics

Geometry and Physics PDF Author: H. Pedersen
Publisher: CRC Press
ISBN: 9780824797911
Category : Mathematics
Languages : en
Pages : 772

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Book Description
"Based on the proceedings of the Special Session on Geometry and Physics held over a six month period at the University of Aarhus, Denmark and on articles from the Summer school held at Odense University, Denmark. Offers new contributions on a host of topics that involve physics, geometry, and topology. Written by more than 50 leading international experts."

Research Report

Research Report PDF Author: Søren Kold Hansen
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Invariants of Knots and 3-manifolds (Kyoto 2001)

Invariants of Knots and 3-manifolds (Kyoto 2001) PDF Author: Tomotada Ohtsuki
Publisher:
ISBN:
Category : Knot theory
Languages : en
Pages : 600

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Quantum Invariants of Knots and 3-manifolds

Quantum Invariants of Knots and 3-manifolds PDF Author: Vladimir Turaev
Publisher:
ISBN:
Category :
Languages : en
Pages : 588

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Introduction to Vassiliev Knot Invariants

Introduction to Vassiliev Knot Invariants PDF Author: S. Chmutov
Publisher: Cambridge University Press
ISBN: 1107020832
Category : Mathematics
Languages : en
Pages : 521

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Book Description
A detailed exposition of the theory with an emphasis on its combinatorial aspects.