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The
$L_\infty$-algebra of a symplectic manifold
Bas Janssens, Leonid Ryvkin and Cornelia Vizman |
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Vol. 314 (2021), No. 1, 81–98
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Abstract |
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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. |
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Keywords
symplectic, Poisson, Lie-infinity, central extension,
homotopy Lie algebra
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Mathematical Subject Classification
Primary: 53D05, 53D17
Secondary: 17A42, 17B66
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Milestones
Received: 15 June 2021
Accepted: 11 July 2021
Published: 15 October 2021
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Authors |
| Bas Janssens | |
| Delft University of Technology Delft The Netherlands |
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| Leonid Ryvkin | |
| Georg-August-Universität
Göttingen Göttingen Germany |
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| Cornelia Vizman | |
| West University of Timisoara Timisoara Romania |
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