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Diagram Genus, Generators, and Applications

By Alexander Stoimenow

Diagram Genus, Generators, and Applications

By Alexander Stoimenow

0 - Default Title
Description
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.
Product details
Edition:
illustrated
Number of Pages:
194
Release Date:
2016-02-09
Publication Date:
2016-02-09
Publisher:
Chapman and Hall/CRC
Languages:
Original: English
ISBN10:
1498733808
ISBN13:
9781498733809
GPSR Manufacturer Reference:
[email protected]
Weight:
461 g
Height:
161 cm
Width:
240 cm
Thickness:
15 cm
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