The \(L_\infty \)-algebra of a symplectic manifold
Bas Janssens, Leonid Ryvkin, Cornelia VizmanPac. J. Math., 2021
doi:10.2140/pjm.2021.314.81, arXiv:2012.03836
abstract: We construct an $L_\infty$-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.
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@article{Janssens-The-L_infty-algebra-2021,
abstract = {We construct an $L_\infty$-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.},
author = {Janssens, Bas and Ryvkin, Leonid and Vizman, Cornelia},
doi = {10.2140/pjm.2021.314.81},
eprint = {2012.03836},
fjournal = {Pacific Journal of Mathematics},
issn = {1945-5844},
journal = {Pac. J. Math.},
keywords = {53D05,53D17,17A42,17B66},
language = {English},
number = {1},
pages = {81--98},
title = {The {{\(L_\infty \)}}-algebra of a symplectic manifold},
volume = {314},
year = {2021},
zbl = {1486.53089},
zbmath = {7415009}
}