The L1-Algebra Of A Symplectic Manifold

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The L1-Algebra Of A Symplectic Manifold

Journal Article (2021)

Author(s)

B. Janssens (TU Delft - Analysis)

Leonid Ryvkin (University of Göttingen)

Cornelia Vizman (West University of Timisoara (UVT))

Poisson Lie-infinity Central extension Homotopy Lie algebra Symplectic

DOI related publication

https://doi.org/10.2140/pjm.2021.314.81 Final published version

To reference this document use

https://resolver.tudelft.nl/uuid:9ca29697-adb6-420f-8adc-a13f27a95221

More Info

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Publication Year

2021

Language

English

Issue number

1

Volume number

314

Pages (from-to)

81-98

Downloads counter

198

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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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