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The Mathematics of Knots: Theory and Application de Markus Banagl

The Mathematics of Knots: Theory and Application: Contributions in Mathematical and Computational Sciences, cartea 1

Editat de Markus Banagl, Denis Vogel
en Limba Engleză Paperback – 2 ian 2013
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.
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Specificații

ISBN-13: 9783642266225
ISBN-10: 3642266223
Pagini: 368
Ilustrații: X, 357 p.
Dimensiuni: 155 x 235 x 19 mm
Greutate: 0.51 kg
Ediția:2011
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Contributions in Mathematical and Computational Sciences

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.

Textul de pe ultima copertă

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.

Caracteristici

Brings the reader up to date on the currently most actively pursued areas of mathematical knot theory Contains applications to cell biology and mathematical physics, contains survey papers as well as original research results Treats low dimensional knots as well as high dimensional knots Includes supplementary material: sn.pub/extras