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.
Reihe
Auflage
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für Beruf und Forschung
Research
Illustrationen
Maße
Höhe: 241 mm
Breite: 160 mm
Dicke: 28 mm
Gewicht
ISBN-13
978-3-642-15636-6 (9783642156366)
DOI
10.1007/978-3-642-15637-3
Schweitzer Klassifikation
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.
