Calculus of Braids

This introductory book on braid groups and related topics keeps prerequisites to a minimum, with appendices providing a detailed guide to the more advanced notions required. A special emphasis is placed on the algorithmic aspects of braids. A range of exercises allow students to test their knowledge, with solutions available.

List of contents

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.

About the author

Patrick Dehornoy (1952–2019) was Professor Emeritus at Université Caen Normandie, and Senior Member Emeritus of the Institut Universitaire de France. His research focused on set theory, algebra, and topology in small dimensions. He authored close to 100 research articles and eight books.

Summary

This introductory book on braid groups and related topics keeps prerequisites to a minimum, with appendices providing a detailed guide to the more advanced notions required. A special emphasis is placed on the algorithmic aspects of braids. A range of exercises allow students to test their knowledge, with solutions available.

Product details

• Authors: Patrick Dehornoy, Dehornoy Patrick
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 31.10.2021
• EAN: 9781108843942
• ISBN: 978-1-108-84394-2
• No. of pages: 220
• Series: London Mathematical Society Student Texts
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; Algebra, MATHEMATICS / Mathematical Analysis, MATHEMATICS / Algebra / General, MATHEMATICS / Topology, Calculus & mathematical analysis, Algebraic Topology, Calculus and mathematical analysis