Del 1 - Contributions in Mathematical and Computational Sciences

Mathematics of Knots

Theory and Application

Inbunden, Engelska, 2010

Av Markus Banagl, Denis Vogel

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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.

Produktinformation

Utgivningsdatum2010-11-30
Mått155 x 235 x 28 mm
Vikt784 g
FormatInbunden
SpråkEngelska
SerieContributions in Mathematical and Computational Sciences
Antal sidor357
Upplaga2011
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN9783642156366

Tillhör följande kategorier

Tillämpad matematik inom Naturvetenskap och teknik
Matematisk fysik inom Naturvetenskap och teknik
Biovetenskap inom Naturvetenskap och teknik
Matematik inom Naturvetenskap och teknik
Topologi inom Naturvetenskap och teknik

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.