The Mathematics of Knots Theory and Application

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 ph...

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Bibliographic Details
Other Authors: Banagl, Markus (Editor), Vogel, Denis (Editor)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2011, 2011
Edition:1st ed. 2011
Series:Contributions in Mathematical and Computational Sciences
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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505 0 |a 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 
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653 |a Mathematical and Computational Biology 
653 |a Biomathematics 
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653 |a Differential Geometry 
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520 |a 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