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

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arxiv 1110.6145 v2 pith:MR4TRSEE submitted 2011-10-27 math.AT

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

Alexander Berglund This is my paper
classification math.AT
keywords homotopytheoryl-infinitymappingrationalspacesalgebraalgebras
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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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Cited by 3 Pith papers

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