Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 16, Number 5 (2016), 2839-2849.
Center of the Goldman Lie algebra
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.
Algebr. Geom. Topol., Volume 16, Number 5 (2016), 2839-2849.
Received: 19 February 2015
Revised: 13 December 2015
Accepted: 24 December 2015
First available in Project Euclid: 16 November 2017
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Kabiraj, Arpan. Center of the Goldman Lie algebra. Algebr. Geom. Topol. 16 (2016), no. 5, 2839--2849. doi:10.2140/agt.2016.16.2839. https://projecteuclid.org/euclid.agt/1510841230