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Koszul spaces
University of Copenhagen, Denmark.
2014 (English)In: Transactions of the American Mathematical Society, ISSN 0002-9947, E-ISSN 1088-6850, Vol. 366, no 9, 4551-4569 p.Article in journal (Refereed) Published
Abstract [en]

We prove that a nilpotent space is both formal and coformal if and only if it is rationally homotopy equivalent to the derived spatial realization of a graded commutative Koszul algebra. We call such spaces Koszul spaces and show that the rational homotopy groups and the rational homology of iterated loop spaces of Koszul spaces can be computed by applying certain Koszul duality constructions to the cohomology algebra.

Place, publisher, year, edition, pages
2014. Vol. 366, no 9, 4551-4569 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-110770ISI: 000344826000002OAI: oai:DiVA.org:su-110770DiVA: diva2:772805
Note

AuthorCount:1;

Available from: 2014-12-17 Created: 2014-12-17 Last updated: 2017-12-05Bibliographically approved

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