Articles liés à Equivariant Stable Homotopy Theory and the Kervaire...

Equivariant Stable Homotopy Theory and the Kervaire Invariant Problem - Couverture rigide

Livre 29 sur 31: New Mathematical Monographs

Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C.

 
9781108831444: Equivariant Stable Homotopy Theory and the Kervaire Invariant Problem
Couverture rigide
ISBN 10 : 1108831443 ISBN 13 : 9781108831444
Editeur : Cambridge University Press, 2021

Synopsis

The long-standing Kervaire invariant problem in homotopy theory arose from geometric and differential topology in the 1960s and was quickly recognised as one of the most important problems in the field. In 2009 the authors of this book announced a solution to the problem, which was published to wide acclaim in a landmark Annals of Mathematics paper. The proof is long and involved, using many sophisticated tools of modern (equivariant) stable homotopy theory that are unfamiliar to non-experts. This book presents the proof together with a full development of all the background material to make it accessible to a graduate student with an elementary algebraic topology knowledge. There are explicit examples of constructions used in solving the problem. Also featuring a motivating history of the problem and numerous conceptual and expository improvements on the proof, this is the definitive account of the resolution of the Kervaire invariant problem.

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

À propos des auteurs

Michael A. Hill is Professor at the University of California, Los Angeles. He is the author of several papers on algebraic topology and is an editor for journals including Mathematische Zeitschrift and Transactions of the American Mathematical Society.

Michael J. Hopkins is Professor at Harvard University. His research concentrates on algebraic topology. In 2001, he was awarded the Oswald Veblen Prize in Geometry from the AMS for his work in homotopy theory, followed by the NAS Award in Mathematics in 2012 and the Nemmers Prize in Mathematics in 2014.

Douglas C. Ravenel is the Fayerweather Professor of Mathematics at the University of Rochester. He is the author of two influential previous books in homotopy theory and roughly 75 journal articles on stable homotopy theory and algebraic topology.

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
2021
Langue
anglais
ISBN 10 
1108831443
ISBN 13 
9781108831444
Reliure
Relié
Nombre de pages
888
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

chemin des peupliers 27
Dardilly
France