The Mathematics of Knots: Theory and Application

Book Overview

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.

• Format: Paperback
• Language: English
• ISBN: 3642266223
• ISBN13: 9783642266225
• Release Date: January 2013
• Publisher: Springer
• Length: 357 Pages
• Weight: 1.13 lbs.
• Dimensions: 0.8" x 6.1" x 9.2"