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The Mathematics of Knots: Theory and Application
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Catalogue Information
Field name
Details
Dewey Class
514
Title
The Mathematics of Knots ([Ebook]) : Theory and Application / edited by Markus Banagl, Denis Vogel.
Author
Banagl, Markus
Added Personal Name
Vogel, Denis
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : Springer , 2011.
Physical Details
X, 357 pages : online resource.
Series
Contributions in Mathematical and Computational Sciences
; 1
ISBN
9783642156373
Summary Note
The present volume grew out of the Heidelberg Knot Theory Semester, organized by the editors in winter 2008/09 at Heidelberg University. The contributed papers bring the reader up to date on the currently most actively pursued areas of mathematical knot theory and its applications in mathematical physics and cell biology. Both original research and survey articles are presented; numerous illustrations support the text. The book will be of great interest to researchers in topology, geometry, and mathematical physics, graduate students specializing in knot theory, and cell biologists interested in the topology of DNA strands.:
Contents note
Preface -- 1 Knots, Singular Embeddings, and Monodromy -- 2 Lower Bounds on Virtual Crossing Number and Minimal Surface Genus -- 3 A Survey of Twisted Alexander Polynomials -- 4 On Two Categorifications of the Arrow Polynomial for Virtual Knots -- 5 An Adelic Extension of the Jones Polynomial -- 6 Legendrian Grid Number One Knots and Augmentations of their Differential Algebras -- 7 Embeddings of Four-Valent Framed Graphs into 2-Surfaces -- 8 Geometric Topology and Field Theory on 3-Manifolds -- 9 From Goeritz Matrices to Quasi-Alternating Links -- 10 An Overview of Property 2R -- 11 DNA, Knots and Tangles.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
http://dx.doi.org/10.1007/978-3-642-15637-3
Links to Related Works
Subject References:
Cell aggregation
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Differential Geometry
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Global differential geometry
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Manifolds and Cell Complexes (incl. Diff.Topology)
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Mathematics
.
Numerical and Computational Physics
.
Physiological, Cellular and Medical Topics
.
Topology
.
Authors:
Banagl, Markus
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editor
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Vogel, Denis
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Corporate Authors:
SpringerLink (Online service)
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Series:
Contributions in Mathematical and Computational Sciences
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Classification:
514
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514 (DDC 23)
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