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Minimal models, GT-action and formality of the little disk operad
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2014 (English)In: Selecta Mathematica, New Series, ISSN 1022-1824, E-ISSN 1420-9020, Vol. 20, no 3, 817-822 p.Article in journal (Refereed) Published
Abstract [en]

We give a new proof of formality of the operad of little disks. The proof makes use of an operadic version of a simple formality criterion for commutative differential graded algebras due to Sullivan. We see that formality is a direct consequence of the fact that the Grothendieck-Teichmuller group operates on the chain operad of little disks.

Place, publisher, year, edition, pages
2014. Vol. 20, no 3, 817-822 p.
Keyword [en]
Formal operad, Grothendieck-Teichmuller group, Drinfel'd associator
National Category
Geometry
Identifiers
URN: urn:nbn:se:kth:diva-122382DOI: 10.1007/s00029-013-0135-5ISI: 000337756600004Scopus ID: 2-s2.0-84902369451OAI: oai:DiVA.org:kth-122382DiVA: diva2:622081
Note

QC 20140805. Updated from manuscript to article in journal.

Available from: 2013-05-20 Created: 2013-05-20 Last updated: 2017-12-06Bibliographically approved
In thesis
1. Topology of moduli spaces and operads
Open this publication in new window or tab >>Topology of moduli spaces and operads
2013 (English)Doctoral thesis, comprehensive summary (Other academic)
Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2013. vii, 45 p.
Series
Trita-MAT. MA, ISSN 1401-2278 ; 13:02
National Category
Geometry
Identifiers
urn:nbn:se:kth:diva-122389 (URN)978-91-7501-759-4 (ISBN)
Public defence
2013-05-31, Sal E2, Lindstedtsvägen 3, KTH, Stockholm, 14:00 (English)
Opponent
Supervisors
Note

QC 20130520

Available from: 2013-05-20 Created: 2013-05-20 Last updated: 2013-05-20Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
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  • Other locale
More languages
Output format
  • html
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