Parametrized L-infinity Spaces
Differential Geometry
2016-03-23 v1 Algebraic Geometry
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.
Cite
@article{arxiv.1603.06930,
title = {Parametrized L-infinity Spaces},
author = {Ryan E. Grady},
journal= {arXiv preprint arXiv:1603.06930},
year = {2016}
}
Comments
15 pages