The Calculus of Braids

ISBN-13: 9781108925860 / Angielski / Miękka / 2021 / 220 str.

Patrick Dehornoy

Opis

This introduction to braid groups keeps prerequisites to a minimum, while discussing their rich mathematical properties and applications.

Recenzje

'… this text is an excellent reference for graduate students and researchers. It is great to have a single, comprehensive resource addressing the braid isotopy problem using so many different approaches. The definitions are thoughtfully constructed and proofs are very thorough and detailed.' Katherine Vance, MAA Reviews

Spis treści

1. Geometric braids; 2. Braid groups; 3. Braid monoids; 4. The greedy normal form; 5. The Artin representation; 6. Handle reduction; 7. The Dynnikov coordinates; 8. A few avenues of investigation; 9. Solutions to the exercises; Glossary; References; Index.