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
Call Number:Libro Electrónico
Corporate Author: SpringerLink (Online service)
Other Authors: Banagl, Markus (Editor), Vogel, Denis (Editor)
Format: Electronic eBook
Language:Inglés
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
Edition:1st ed. 2011.
Series:Contributions in Mathematical and Computational Sciences, 1
Subjects:
Topology.
Manifolds (Mathematics).
Geometry, Differential.
Biomathematics.
Mathematical physics.
Manifolds and Cell Complexes.
Differential Geometry.
Mathematical and Computational Biology.
Theoretical, Mathematical and Computational Physics.
Online Access:Texto Completo
Table of Contents:
  • 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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