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The Mathematics of Knots

Theory and Application

Markus Banagl, Denis Vogel (Herausgeber)

Buch | Hardcover

X, 357 Seiten

2010 | 2011
Springer Berlin (Verlag)
978-3-642-15636-6 (ISBN)

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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.

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.

Erscheint lt. Verlag	30.11.2010
Reihe/Serie	Contributions in Mathematical and Computational Sciences
Zusatzinfo	X, 357 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	676 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	3-manifolds • Knoten • knot theory • singular embeddings • topological enzymology • topological quantum field theory
ISBN-10	3-642-15636-3 / 3642156363
ISBN-13	978-3-642-15636-6 / 9783642156366
Zustand	Neuware