The L-infinity algebra of a symplectic manifold

B. Janssens, Leonid Ryvkin, Cornelia Vizman

Research output: Contribution to journalArticleScientificpeer-review

Abstract

We construct an L∞-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 languageEnglish
Pages (from-to)81-98
Number of pages18
JournalPacific Journal of Mathematics
Volume314
Issue number1
DOIs
Publication statusPublished - 2021

Keywords

  • symplectic
  • Poisson
  • Lie-infinity
  • homotopy Lie algebra
  • central extension

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