The mathematics of knots: theory and application
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 L...
Saved in:
| Other Authors: | , |
|---|---|
| Format: | Conference Paper |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer-Verlag Berlin Heidelberg
2011
|
| Series: | Contributions in Mathematical and Computational Sciences
1 SpringerLink Bücher |
| DOI: | 10.1007/978-3-642-15637-3 |
| Subjects: | |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/978-3-642-15637-3 Resolving-System, lizenzpflichtig, Volltext: http://dx.doi.org/10.1007/978-3-642-15637-3 Verlag, Zentralblatt MATH, Inhaltstext: https://zbmath.org/?q=an:1205.57002 
|
| Author Notes: | edited by Markus Banagl, Denis Vogel |
| Summary: | 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. 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. |
|---|---|
| Item Description: | Description based upon print version of record |
| Physical Description: | Online Resource |
| ISBN: | 9783642156373 1282996703 9781282996700 |
| DOI: | 10.1007/978-3-642-15637-3 |