Center of the Goldman Lie Algebra

Arpan Kabiraj

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


We show that the center of the Goldman Lie algebra associated to a closed orientable surface is generated by the class of the trivial loop. For an orientable nonclosed surface of finite type, the center is generated by closed curves which are either homotopically trivial or homotopic to boundary components or punctures.

Original languageEnglish
Pages (from-to)2839-2849
Number of pages11
JournalAlgebraic and Geometric Topology
Issue number5
StatePublished - 7 Nov 2016
Externally publishedYes


  • Goldman Lie algebra
  • Hyperbolic surfaces

ASJC Scopus subject areas

  • Geometry and Topology


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