PROP profile of Poisson geometry
Differential Geometry
2015-06-26 v3 High Energy Physics - Theory
Quantum Algebra
Abstract
We argue that some classical local geometries are of infinity origin, i.e. their smooth formal germs are (homotopy) representations of cofibrant (di)operads in spaces concentrated in degree zero. In particular, they admit natural infinity generalizations when one considers homotopy representations of that (di)operads in generic differential graded spaces. Poisson geometry provides us with a simplest manifestation of this phenomenon.
Cite
@article{arxiv.math/0401034,
title = {PROP profile of Poisson geometry},
author = {S. A. Merkulov},
journal= {arXiv preprint arXiv:math/0401034},
year = {2015}
}