Knots, Links, Braids and 3-Manifolds: An Introduction to the New Invariants in Low-Dimensional Topology - Couverture souple

Prasolov, V.V.; Sossinsky, A.B.

 
9780821808986: Knots, Links, Braids and 3-Manifolds: An Introduction to the New Invariants in Low-Dimensional Topology
Couverture souple
ISBN 10 : 0821808982 ISBN 13 : 9780821808986
Editeur : American Mathematical Society, 1996

Synopsis

This book is an introduction to the remarkable work of Vaughan Jones and Victor Vassiliev on knot and link invariants and its recent modifications and generalizations, including a mathematical treatment of Jones-Witten invariants. It emphasizes the geometric aspects of the theory and treats topics such as braids, homeomorphisms of surfaces, surgery of 3-manifolds (Kirby calculus), and branched coverings. This attractive geometric material, interesting in itself yet not previously gathered in book form, constitutes the basis of the last two chapters, where the Jones-Witten invariants are constructed via the rigorous skein algebra approach (mainly due to the Saint Petersburg school). Unlike several recent monographs, where all of these invariants are introduced by using the sophisticated abstract algebra of quantum groups and representation theory, the mathematical prerequisites are minimal in this book. Numerous figures and problems make it suitable as a course text and for self-study.

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

Éditeur
American Mathematical Society
Date d'édition
1996
Langue
anglais
ISBN 10 
0821808982
ISBN 13 
9780821808986
Reliure
Broché
Nombre de pages
250
Coordonnées du fabricant
non disponible
Personne responsable
non disponible

Autres éditions populaires du même titre

9780821805886: Knots, Links, Braids and 3-Manifolds: An Introduction to the New Invariants in Low-Dimensional Topology

Edition présentée

ISBN 10 :  0821805886 ISBN 13 :  9780821805886
Editeur : American Mathematical Society, 1997
Couverture rigide