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. Read More

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. Read Less

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  	This is a digital edition of this title. Rent eBook (2 Options) 180 Day Rental: $36.85 (Expires Dec 06, 2024) 365 Day Rental: $43.55 (Expires Jun 09, 2025) Buy eBook Lifetime Access: $66.99 Title: Diagram Genus, Generators, and Applications by Alexander Stoimenow Publisher: Taylor & Francis Print ISBN: 9781498733809, 1498733808 eText ISBN: 9781315359984 Edition: 2016 1st edition Format: EPUB eBook	$36.85 Rent eBook This is a digital eBook Nothing will be shipped to you Works with web browsers and the VitalSource app on all Windows, Mac, Chromebook, Kindle Fire, iOS, and Android devices Most eBooks are returnable within 14 days of purchase Questions? See our eBook FAQ