Surface-Knots in 4-Space, Seiichi Kamada

Автор: Markus Banagl; Denis Vogel
Название: The Mathematics of Knots
ISBN: 3642266223 ISBN-13(EAN): 9783642266225
Издательство: Springer
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Цена: 23058.00 р.
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Описание: This book offers up-to-date original research and survey articles on actively pursued areas of mathematical knot theory and its applications in mathematical physics and cell biology. The contents arise from the Heidelberg Knot Theory Semester of winter 2008-09.

Автор: Avrin Jack
Название: Knots, Braids And Mobius Strips - Particle Physics And The Geometry Of Elementarity: An Alternative View
ISBN: 9814616001 ISBN-13(EAN): 9789814616003
Издательство: World Scientific Publishing
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Цена: 18216.00 р.
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Описание: Elementary particles in this book exist as Solitons in-and-of the fabric of spacetime itself. As such they are characterized by their geometry, that is their topology and configuration which lead directly to their physical attributes and behavior as well as to a simplification and reduction of assumptions and the importation of parameter values.

Автор: T. Fiedler
Название: Gauss Diagram Invariants for Knots and Links
ISBN: 0792371127 ISBN-13(EAN): 9780792371120
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Contains numerical isotopy invariants for knots in the product of a surface (not necessarily orientable) with a line and for links in 3-space. This book describes these invariants, called Gauss diagram invariants, in a combinatorial way using knot diagrams.

Автор: Gelca Razvan
Название: Theta Functions and Knots
ISBN: 9814520578 ISBN-13(EAN): 9789814520577
Издательство: World Scientific Publishing
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Цена: 23760.00 р.
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Описание:

This book presents the relationship between classical theta functions and knots. It is based on a novel idea of Răzvan Gelca and Alejandro Uribe, which converts Weil's representation of the Heisenberg group on theta functions to a knot theoretical framework, by giving a topological interpretation to a certain induced representation. It also explains how the discrete Fourier transform can be related to 3- and 4-dimensional topology.

Theta Functions and Knots can be read in two perspectives. Readers with an interest in theta functions or knot theory can learn how the two are related. Those interested in Chern-Simons theory will find here an introduction using the simplest case, that of abelian Chern-Simons theory. Moreover, the construction of abelian Chern-Simons theory is based entirely on quantum mechanics and not on quantum field theory as it is usually done.

Both the theory of theta functions and low dimensional topology are presented in detail, in order to underline how deep the connection between these two fundamental mathematical subjects is. Hence the book is self-contained with a unified presentation. It is suitable for an advanced graduate course, as well as for self-study.

Автор: Kauffman Louis H
Название: Knots And Physics (Fourth Edition)
ISBN: 9814383007 ISBN-13(EAN): 9789814383004
Издательство: World Scientific Publishing
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Цена: 43560.00 р.
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Описание: Provides an introduction to knot and link invariants as generalized amplitudes for a quasi-physical process. This title covers frictional properties of knots, relations with combinatorics, and knots in dynamical systems. It includes articles Khovanov Homology.

Автор: Wei Zeng; Xianfeng David Gu
Название: Ricci Flow for Shape Analysis and Surface Registration
ISBN: 1461487803 ISBN-13(EAN): 9781461487807
Издательство: Springer
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Цена: 9781.00 р.
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Описание: ГЇВїВЅ ГЇВїВЅ Ricci Flow for Shape Analysis and Surface Registration introduces the beautiful and profound Ricci flow theory in a discrete setting.

Автор: Andras N?methi; Agnes Szil?rd
Название: Deformations of Surface Singularities
ISBN: 3642391303 ISBN-13(EAN): 9783642391309
Издательство: Springer
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Цена: 6986.00 р.
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Описание: The present publication contains a special collection of research and review articles on deformations of surface singularities, that put together serve as an introductory survey of results and methods of the theory, as well as open problems and examples.