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arXiv · 1110.6145

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

Alexander Berglund
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Abstract

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.

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Alexander Berglund. 2015-08-01. Rational homotopy theory of mapping spaces via Lie theory for L-infinity algebras. https://arxiv.org/abs/1110.6145

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