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arXiv · 2012.03836

The $L_\infty$-algebra of a symplectic manifold

Bas Janssens·Leonid Ryvkin·Cornelia Vizman
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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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Bas Janssens, Leonid Ryvkin, Cornelia Vizman. 2020-12-07. The $L_\infty$-algebra of a symplectic manifold. https://doi.org/10.2140/pjm.2021.314.81

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