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arXiv:1110.6145 [math.AT]AbstractReferencesReviewsResources

Rational homotopy theory of mapping spaces via Lie theory for L-infinity algebras

Alexander Berglund

Published 2011-10-27, updated 2015-08-01Version 2

We calculate the higher homotopy groups of the Deligne-Getzler infinity-groupoid associated to a nilpotent L-infinity algebra. As an application, we present a new approach to the rational homotopy theory of mapping spaces.

Comments: 25 pages. Final version to appear in Homology, Homotopy and Applications
Categories: math.AT
Subjects: 55P62, 55U10
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