Homotopy of Operads and Grothendieck-teichmuller Groups: The Applications of Rational Homotopy Theory Methods (Mathematical Surveys and Monographs, 217, Band 217) - Hardcover

Fresse, Benoit

 
9781470434823: Homotopy of Operads and Grothendieck-teichmuller Groups: The Applications of Rational Homotopy Theory Methods (Mathematical Surveys and Monographs, 217, Band 217)
Hardcover
ISBN 10: 1470434822 ISBN 13: 9781470434823
Verlag: American Mathematical Society, 2017

Inhaltsangabe

The ultimate goal of this book is to explain that the Grothendieck-Teichmuller group, as defined by Drinfeld in quantum group theory, has a topological interpretation as a group of homotopy automorphisms associated to the little 2-disc operad. To establish this result, the applications of methods of algebraic topology to operads must be developed. This volume is devoted primarily to this subject, with the main objective of developing a rational homotopy theory for operads. The book starts with a comprehensive review of the general theory of model categories and of general methods of homotopy theory. The definition of the Sullivan model for the rational homotopy of spaces is revisited, and the definition of models for the rational homotopy of operads is then explained. The applications of spectral sequence methods to compute homotopy automorphism spaces associated to operads are also explained. This approach is used to get a topological interpretation of the Grothendieck-Teichmuller group in the case of the little 2-disc operad. This volume is intended for graduate students and researchers interested in the applications of homotopy theory methods in operad theory. It is accessible to readers with a minimal background in classical algebraic topology and operad theory.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Über die Autorin bzw. den Autor

Benoit Fresse, Universite de Lille 1, Villeneuve d'Ascq, France.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
American Mathematical Society
Erscheinungsdatum
2017
Sprache
Englisch
ISBN 10 
1470434822
ISBN 13 
9781470434823
Einband
Gebundene Ausgabe
Anzahl der Seiten
715
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
preigu
mail@preigu.de

Lengericher Landstr. 19
Osnabrück
49078
Deutschland

Weitere beliebte Ausgaben desselben Titels

9781470434809: Homotopy of Operads and Grothendieck-Teichmuller Groups: The Algebraic Theory and Its Topological Background / the Applications of (Rational) Homotopy ... Surveys and Monographs, Band 217)

Vorgestellte Ausgabe

ISBN 10:  1470434806 ISBN 13:  9781470434809
Verlag: American Mathematical Society, 2017
Hardcover