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