The L1-Algebra Of A Symplectic Manifold

B. Janssens; Leonid  Ryvkin; Cornelia Vizman

doi:10.2140/pjm.2021.314.81

The L1-Algebra Of A Symplectic Manifold

B. Janssens, Leonid Ryvkin, Cornelia Vizman

Analysis

Research output: Contribution to journal › Article › Scientific › peer-review

Abstract

We construct an L1-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.

Original language	English
Pages (from-to)	81-98
Number of pages	18
Journal	Pacific Journal of Mathematics
Volume	314
Issue number	1
DOIs	https://doi.org/10.2140/pjm.2021.314.81
Publication status	Published - 2021

Keywords

Lie-infinity
Poisson
central extension
homotopy Lie algebra
symplectic

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abstract = "We construct an L1-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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JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

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The L1-Algebra Of A Symplectic Manifold

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