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Diagram Genus, Generators, and Applications

Diagram Genus, Generators, and Applications

Alexander Stoimenow

302,11 €
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Editorial:
Taylor & Francis Ltd
Año de edición:
2016
Materia
Geometría
ISBN:
9781498733809

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Sobre IBD

In knot theory, diagrams of a given canonical genus can be described by means of a finite number of patterns ('generators'). This book presents a self-contained account of the canonical genus: the genus of knot diagrams. The author explores recent research on the combinatorial theory of knots and supplies proofs for a number of theorems. He gives a detailed structure theorem for canonical Seifert surfaces of a given genus and covers applications, such as the braid index of alternating knots and hyperbolic volume.

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