The Mathematics of Knots Theory and Application /

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Banagl, Markus (Επιμελητής έκδοσης), Vogel, Denis (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
• Σειρά: Contributions in Mathematical and Computational Sciences ; 1
• Θέματα: Mathematics.; Differential geometry.; Topology.; Manifolds (Mathematics).; Complex manifolds.; Biomathematics.; Physics.; Manifolds and Cell Complexes (incl. Diff.Topology).; Differential Geometry.; Physiological, Cellular and Medical Topics.; Numerical and Computational Physics.

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...

Πίνακας περιεχομένων:

• 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.