Lie algebroid modules and representations up to homotopy
Differential Geometry
2015-01-27 v3
Abstract
We establish a relationship between two different generalizations of Lie algebroid representations: representation up to homotopy and Vaintrob's Lie algebroid modules. Specifically, we show that there is a noncanonical way to obtain a representation up to homotopy from a given Lie algebroid module, and that any two representations up to homotopy obtained in this way are equivalent in a natural sense. We therefore obtain a one-to-one correspondence, up to equivalence.
Cite
@article{arxiv.1107.1539,
title = {Lie algebroid modules and representations up to homotopy},
author = {Rajan Amit Mehta},
journal= {arXiv preprint arXiv:1107.1539},
year = {2015}
}
Comments
v3: Final version, to appear in Indag. Math