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

Published 7 Dec 2020 in math.SG and math.DG | (2012.03836v3)

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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