Homotopy of operads and Grothendieck-Teichmüller groups / Benoit Fresse.

Format:

Book

Author/Creator:

Fresse, Benoit.

Series:

Mathematical surveys and monographs ; v. 217.2.

Mathematical Surveys and Monographs, 2331-7159 ; v. 217.2

Language:

English

Subjects (All):

Homotopy theory.

Operads.

Grothendieck groups.

Teichmüller spaces.

Physical Description:

1 online resource (2 volumes : illustrations).

Other Title:

Mathematical Surveys and Monographs.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2017]

System Details:

Mode of access : World Wide Web

text file

Contents:

Model categories and homotopy theory Mapping spaces and simplicial model categories Simplicial structures and mapping spaces in general model categories Cofibrantly generated model categories Differential graded modules, simplicial modules, and cosimplicial modules Differential graded algebras, simplicial algebras, and cosimplicial algebras Models for the rational homotopy of spaces The model category of operads in simplicial sets The homotopy theory of (Hopf) cooperads Models for the rational homotopy of (non-unitary) operads The homotopy theory of (Hopf) $\Lambda $-cooperads Models for the rational homotopy of unitary operads Complete Lie algebras and rational models of classifying spaces Formality and rational models of $E_n$-operads Introduction to the results of the computations for the $E_n$-operads Homotopy spsectral sequences and mapping spaces of operads Applications of the cotriple cohomology of operads Applications of the Koszul duality of operads The applications of the Koszul duality for $E_n$-operads The interpretation of the result of the spectral sequence in the case of $E_2$-operads Graph complexes and $E_n$-operads From $E_n$-operads to embedding spaces Cofree cooperads and the bar duality of operads

Notes:

Includes bibliographical references and index.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2017

Description based on print version record.

Other Format:

Print version: Fresse, Benoit. Homotopy of operads and Grothendieck-Teichmüller groups /

ISBN:

9781470437572

Access Restriction:

Restricted for use by site license.