Braid Foliations in Low-Dimensional Topology - Couverture rigide

LaFountain, Douglas J.; Menasco, William W.

Couverture rigide

ISBN 10 : 1470436604 ISBN 13 : 9781470436605

Editeur : American Mathematical Society, 2017

Synopsis

This book is a self-contained introduction to braid foliation techniques, which is a theory developed to study knots, links and surfaces in general 3-manifolds and more specifically in contact 3-manifolds. With style and content accessible to beginning students interested in geometric topology, each chapter centers around a key theorem or theorems. The particular braid foliation techniques needed to prove these theorems are introduced in parallel, so that the reader has an immediate "take-home" for the techniques involved.

The reader will learn that braid foliations provide a flexible toolbox capable of proving classical results such as Markov's theorem for closed braids and the transverse Markov theorem for transverse links, as well as recent results such as the generalized Jones conjecture for closed braids and the Legendrian grid number conjecture for Legendrian links. Connections are also made between the Dehornoy ordering of the braid groups and braid foliations on surfaces.

All of this is accomplished with techniques for which only mild prerequisites are required, such as an introductory knowledge of knot theory and differential geometry. The visual flavor of the arguments contained in the book is supported by over 200 figures.

A propos du livre

À propos de l'auteur

Douglas J. LaFountain, Western Illinois University, Macomb, IL.

William W. Menasco, University at Buffalo, NY.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2017
• Langue: anglais
• ISBN 10: 1470436604
• ISBN 13: 9781470436605
• Reliure: Relié
• Nombre de pages: 304
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible