Formality of the little N-disks operad

Formality of the little N-disks operad

by Lambrechts, Pascal

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Title Statements

  • Full title :Formality of the little N-disks operad / Pascal Lambrechts, Ismar Volić.

Edition Statements

  • Publication Date:©2013

Publication Statements

Notes

"Volume 230, Number 1079 (first of 5 numbers)."

The Physical Object

  • Description:1 online resource (130 pages) : : illustrations

Edition Identifiers

  • ISBN:9781470416690, 1470416697
  • oclc:ocn908065587
  • LC Classification:QA612.7
  • Dewey Decimal:514/.24

Table of Contents

""Contents""; ""Acknowledgments""; ""Chapter 1. Introduction""; ""1. Plan of the paper""; ""Chapter 2. Notation, linear orders, weak partitions, and operads""; ""2.1. Notation""; ""2.2. Linear orders""; ""2.3. Weak ordered partitions""; ""2.4. Operads and cooperads""; ""Chapter 3. CDGA models for operads""; ""Chapter 4. Real homotopy theory of semi-algebraic sets""; ""Chapter 5. The Fulton-MacPherson operad""; ""5.1. Compactification of configuration spaces in â??^{â??}""; ""5.2. The operad structure""; ""5.3. The canonical projections""

5.4. Decomposition of the boundary of into codimension 0 faces5.5. Spaces of singular configurations -- 5.6. Pullback of a canonical projection along an operad structure map -- 5.7. Decomposition of the fiberwise boundary along a canonical projection -- 5.8. Orientation of -- 5.9. Proof of the local triviality of the canonical projections -- Chapter 6. The CDGAs of admissible diagrams -- 6.1. Diagrams -- 6.2. The module () of diagrams -- 6.3. Product of diagrams -- 6.4. A differential on the space of diagrams

""6.5. The CDGA () of admissible diagrams""""Chapter 7. Cooperad structure on the spaces of (admissible) diagrams""; ""7.1. Construction o…

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Subjects

Espaces de lacets Homotopie Homotopy theory Loop spaces Opérades Operads

Writers

Lambrechts, Pascal Volić, Ismar

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