The Mathematics of Knots
Theory and Application
1st Edition
Published on 30. November 2010
Book
Hardback
X, 357 pages
978-3-642-15636-6 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
X, 357 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 28 mm
Weight
784 gr
ISBN-13
978-3-642-15636-6 (9783642156366)
DOI
10.1007/978-3-642-15637-3
Schweitzer Classification
Other editions
Additional editions
Book
01/2013
Springer
€106.99
Shipment within 7-9 days
E-Book
11/2010
1st Edition
Springer
€96.29
Available for download
Content
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.