Homotopy of Operads and Grothendieck-Teichmuller Groups: Part 2: The Applications of (Rational) Homotopy Theory Methods, Benoit Fresse

Автор: Benoit Fresse
Название: Homotopy of Operads and Grothendieck-Teichmuller Groups: Part 1: The Algebraic Theory and its Topological Background
ISBN: 1470434814 ISBN-13(EAN): 9781470434816
Издательство: Mare Nostrum (Eurospan)
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Цена: 107850.00 T
Наличие на складе: Невозможна поставка.
Описание: The Grothendieck-Teichmuller group was defined by Drinfeld in quantum group theory with insights coming from the Grothendieck program in Galois theory. The ultimate goal of this book is to explain that this group has a topological interpretation as a group of homotopy automorphisms associated to the operad of little 2-discs, which is an object used to model commutative homotopy structures in topology. This volume gives a comprehensive survey on the algebraic aspects of this subject. The book explains the definition of an operad in a general context, reviews the definition of the little discs operads, and explains the definition of the Grothendieck-Teichmuller group from the viewpoint of the theory of operads. In the course of this study, the relationship between the little discs operads and the definition of universal operations associated to braided monoidal category structures is explained. Also provided is a comprehensive and self-contained survey of the applications of Hopf algebras to the definition of a rationalization process, the Malcev completion, for groups and groupoids. Most definitions are carefully reviewed in the book; it requires minimal prerequisites to be accessible to a broad readership of graduate students and researchers interested in the applications of operads.

Автор: Hazrat
Название: Graded Rings and Graded Grothendieck Groups
ISBN: 1316619583 ISBN-13(EAN): 9781316619582
Издательство: Cambridge Academ
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Цена: 60190.00 T
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Описание: This study of graded rings includes the first systematic account of the graded Grothendieck group, a powerful and crucial invariant in algebra, and brings together results scattered across the literature. The book is suitable for advanced undergraduate and graduate students, as well as researchers in ring theory.

Автор: Griffiths Phillip
Название: Rational Homotopy Theory and Differential Forms
ISBN: 1461484677 ISBN-13(EAN): 9781461484677
Издательство: Springer
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Цена: 93160.00 T
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Описание: Rational Homotopy Theory and Differential Forms

Автор: Phillip Griffiths; John Morgan
Название: Rational Homotopy Theory and Differential Forms
ISBN: 1493936999 ISBN-13(EAN): 9781493936991
Издательство: Springer
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Цена: 130430.00 T
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Описание:

This completely revised and corrected version of the well-known Florence notes circulated by the authors together with E. Friedlander examines basic topology, emphasizing homotopy theory. Included is a discussion of Postnikov towers and rational homotopy theory. This is then followed by an in-depth look at differential forms and de Tham's theorem on simplicial complexes. In addition, Sullivan's results on computing the rational homotopy type from forms is presented.

Автор: Schwede, Stefan (rheinische Friedrich-wilhelms-universitat Bonn)
Название: Global homotopy theory
ISBN: 110842581X ISBN-13(EAN): 9781108425810
Издательство: Cambridge Academ
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Цена: 180570.00 T
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Описание: Global equivariant homotopy theory is presented in this self-contained book, ideal for graduate students and researchers in algebraic topology. It is a comprehensive research monograph at the forefront of current research, written by a leading expert. The book`s many examples and sample calculations make it suitable for an advanced graduate class.