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Noncommutative formality implies commutative and Lie formality
Stockholm University, Faculty of Science, Department of Mathematics.
Number of Authors: 1
2017 (English)In: Algebraic and Geometric Topology, ISSN 1472-2747, E-ISSN 1472-2739, Vol. 17, no 4, 2523-2542 p.Article in journal (Refereed) Published
Abstract [en]

Over a field of characteristic zero we prove two formality conditions. We prove that a dg Lie algebra is formal if and only if its universal enveloping algebra is formal. We also prove that a commutative dg algebra is formal as a dg associative algebra if and only if it is formal as a commutative dg algebra. We present some consequences of these theorems in rational homotopy theory.

Place, publisher, year, edition, pages
2017. Vol. 17, no 4, 2523-2542 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-148104DOI: 10.2140/agt.2017.17.2523ISI: 000409990000019OAI: oai:DiVA.org:su-148104DiVA: diva2:1150709
Available from: 2017-10-19 Created: 2017-10-19 Last updated: 2017-10-19Bibliographically approved

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