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

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.

25 pages. Final version to appear in Homology, Homotopy and Applications

Cited by in corpus (4)

• A Version of the Goldman-Millson Theorem for Filtered L-infinity Algebras
• Descent of Deligne-Getzler $\infty$-groupoids
• $L_{i}nfty$ rational homotopy of mapping spaces
• Maurer-Cartan moduli and models for function spaces