Lecture Notes On Knot Invariants - Couverture souple

Li, Weiping

 
9789814675963: Lecture Notes On Knot Invariants
Couverture souple
ISBN 10 : 9814675962 ISBN 13 : 9789814675963
Editeur : Wspc, 2015

Synopsis

"The overall impression the book makes is a good one. The choice of material dealt with is reasonable." Zentralblatt Math "This textbook would be well suited for a second-year graduate course. It includes a wealth of detail for the student or researcher wishing to practically compute with these concepts. In particular, it is an ideal place for exploring the deep background and intricacies of both the Jones polynomial and Casson's link invariants." Mathematical Reviews Clippings The volume is focused on the basic calculation skills of various knot invariants defined from topology and geometry. It presents the detailed Hecke algebra and braid representation to illustrate the original Jones polynomial (rather than the algebraic formal definition many other books and research articles use) and provides self-contained proofs of the Tait conjecture (one of the big achievements from the Jones invariant). It also presents explicit computations to the Casson–Lin invariant via braid representations. With the approach of an explicit computational point of view on knot invariants, this user-friendly volume will benefit readers to easily understand low-dimensional topology from examples and computations, rather than only knowing terminologies and theorems.

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

Présentation de l'éditeur

"The overall impression the book makes is a good one. The choice of material dealt with is reasonable." Zentralblatt Math "This textbook would be well suited for a second-year graduate course. It includes a wealth of detail for the student or researcher wishing to practically compute with these concepts. In particular, it is an ideal place for exploring the deep background and intricacies of both the Jones polynomial and Casson's link invariants." Mathematical Reviews Clippings The volume is focused on the basic calculation skills of various knot invariants defined from topology and geometry. It presents the detailed Hecke algebra and braid representation to illustrate the original Jones polynomial (rather than the algebraic formal definition many other books and research articles use) and provides self-contained proofs of the Tait conjecture (one of the big achievements from the Jones invariant). It also presents explicit computations to the Casson–Lin invariant via braid representations. With the approach of an explicit computational point of view on knot invariants, this user-friendly volume will benefit readers to easily understand low-dimensional topology from examples and computations, rather than only knowing terminologies and theorems.

Présentation de l'éditeur

The volume is focused on the basic calculation skills of various knot invariants defined from topology and geometry. It presents the detailed Hecke algebra and braid representation to illustrate the original Jones polynomial (rather than the algebraic formal definition many other books and research articles use) and provides self-contained proofs of the Tait conjecture (one of the big achievements from the Jones invariant). It also presents explicit computations to the Casson–Lin invariant via braid representations.

With the approach of an explicit computational point of view on knot invariants, this user-friendly volume will benefit readers to easily understand low-dimensional topology from examples and computations, rather than only knowing terminologies and theorems.

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

Éditeur
Wspc
Date d'édition
2015
Langue
anglais
ISBN 10 
9814675962
ISBN 13 
9789814675963
Reliure
Broché
Nombre de pages
244
Coordonnées du fabricant
non disponible
Personne responsable
non disponible

Autres éditions populaires du même titre

9789814675956: Lecture Notes on Knot Invariants

Edition présentée

ISBN 10 :  9814675954 ISBN 13 :  9789814675956
Editeur : World Scientific Publishing Co P..., 2015
Couverture rigide