Center of the Goldman Lie algebra

Kabiraj, Arpan

doi:10.2140/agt.2016.16.2839

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Center of the Goldman Lie algebra

Arpan Kabiraj

Algebraic & Geometric Topology 16 (2016) 2839–2849

DOI: 10.2140/agt.2016.16.2839

Abstract

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.

Keywords

Goldman Lie algebra, hyperbolic surfaces

Mathematical Subject Classification 2010

Primary: 57M50

Secondary: 57M07, 57M05

References

Publication

Received: 19 February 2015

Revised: 13 December 2015

Accepted: 24 December 2015

Published: 7 November 2016

Authors

Arpan Kabiraj
Department of Mathematics Indian Institute of Science Bangalore 560012 India

Volume 16, issue 5 (2016)