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The Mathematics of Knots: Theory and Application

The Mathematics of Knots: Theory and Application
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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
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