Parametrized L-infinity Spaces

Ryan E. Grady

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arXiv · 1603.06930

Parametrized L-infinity Spaces

Ryan E. Grady

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Abstract

Motivated by families of formal moduli problems, in this note we generalize the notion of L-infinity space by allowing sheaves of L-infinity algebras over any (reasonable) nilpotent dg manifold. We discuss various examples including those coming from Lie algebroids. Given a Lie algebroid, we show that there is an L-infinity space parametrized by (cochains of) the Lie algebroid; further, characteristic classes of this L-infinity space recover the primary invariants of the original algebroid.

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Ryan E. Grady. 2016-03-22. Parametrized L-infinity Spaces. https://arxiv.org/abs/1603.06930

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