MARC details
| 000 -LEADER |
|---|
| fixed length control field |
02298cam a2200277 i 4500 |
| 001 - CONTROL NUMBER |
|---|
| control field |
138309 |
| 003 - CONTROL NUMBER IDENTIFIER |
|---|
| control field |
ISI Library, Kolkata |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
|---|
| control field |
20180510124136.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
|---|
| fixed length control field |
160805s2017 riua b 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9781470434816 (alk. paper : pt. 1) |
| 040 ## - CATALOGING SOURCE |
|---|
| Original cataloging agency |
ISI Library |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
510MS |
| Edition number |
23 |
| Item number |
Am512 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Fresse, Benoit, |
| Relator term |
author |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Homotopy of operads and Grothendieck-Teichmuller groups : |
| Remainder of title |
part 1: the algebraic theory and its topological background / |
| Statement of responsibility, etc |
Benoit Fresse. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication, distribution, etc |
Providence : |
| Name of publisher, distributor, etc |
American Mathematical Society, |
| Date of publication, distribution, etc |
©2017. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
volums : |
| Other physical details |
illustrations ; |
| Dimensions |
26 cm. |
| 490 0# - SERIES STATEMENT |
|---|
| Series statement |
Mathematical surveys and monographs ; |
| Volume number/sequential designation |
v 217. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc |
Includes bibliographical references and index. |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Part 1. The algebraic theory and its topological background -- |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Homotopy theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Operads. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Grothendieck groups. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Teichmuller spaces. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
