The $L_\infty$-algebra of a symplectic manifold
Symplectic Geometry
2021-11-03 v3 Differential Geometry
Abstract
We construct an -algebra on the truncated canonical homology complex of a symplectic manifold, which naturally projects to the universal central extension of the Lie algebra of Hamiltonian vector fields.
Keywords
Cite
@article{arxiv.2012.03836,
title = {The $L_\infty$-algebra of a symplectic manifold},
author = {Bas Janssens and Leonid Ryvkin and Cornelia Vizman},
journal= {arXiv preprint arXiv:2012.03836},
year = {2021}
}
Comments
18 pages