Diagram Genus, Generators, and Applications
- Indbinding:
- Hardback
- Sideantal:
- 174
- Udgivet:
- 9. Februar 2016
- Størrelse:
- 237x160x15 mm.
- Vægt:
- 414 g.
Leveringstid:
Ukendt - mangler pt.
Beskrivelse af Diagram Genus, Generators, and Applications
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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