Articles liés à Braids and Coverings: Selected Topics

Braids and Coverings: Selected Topics - Couverture souple

Livre 10 sur 83: London Mathematical Society Student Texts

Hansen, Vagn

 
9780521387576: Braids and Coverings: Selected Topics
Couverture souple
ISBN 10 : 0521387574 ISBN 13 : 9780521387576
Editeur : Cambridge University Press, 2010

Synopsis

This book is based on a graduate course taught by the author at the University of Maryland, USA. The lecture notes have been revised and augmented by examples. The work falls into two strands. The first two chapters develop the elementary theory of Artin Braid groups both geometrically and via homotopy theory, and discuss the link between knot theory and the combinatorics of braid groups through Markov's Theorem. The final two chapters give a detailed investigation of polynomial covering maps, which may be viewed as a homomorphism of the fundamental group of the base space into the Artin braid group on n strings. This book will be of interest to both topologists and algebraists working in braid theory.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This book is based on a graduate course taught by the author at the University of Maryland, USA. The lecture notes have been revised and augmented by examples. The work falls into two strands. The first two chapters develop the elementary theory of Artin Braid groups both geometrically and via homotopy theory, and discuss the link between knot theory and the combinatorics of braid groups through Markov's Theorem. The final two chapters give a detailed investigation of polynomial covering maps, which may be viewed as a homomorphism of the fundamental group of the base space into the Artin braid group on n strings. This book will be of interest to both topologists and algebraists working in braid theory.

Revue de presse

"...a good source for a one-semester topics course for graduate students with basic experience in topology....Each chapter of the book contains well-selected problems, which makes it even more valuable for work with students. To sum up, the book is a very good addition to the literature." Serge L. Tabachnikov, Mathematical Reviews

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
2010
Langue
anglais
ISBN 10 
0521387574
ISBN 13 
9780521387576
Reliure
Broché
Nombre de pages
202
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

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