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＜電子ブック＞
The Mathematics of Knots : Theory and Application / edited by Markus Banagl, Denis Vogel
(Contributions in Mathematical and Computational Sciences. ISSN:21913048 ; 1)

版	1st ed. 2011.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2011
本文言語	英語
大きさ	X, 357 p : online resource
著者標目	Banagl, Markus editor Vogel, Denis editor SpringerLink (Online service)
件　名	LCSH:Topology LCSH:Manifolds (Mathematics) LCSH:Geometry, Differential LCSH:Biomathematics LCSH:Mathematical physics FREE:Topology FREE:Manifolds and Cell Complexes FREE:Differential Geometry FREE:Mathematical and Computational Biology FREE:Theoretical, Mathematical and Computational Physics
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-642-15637-3

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