Geodesic
Center of the Goldman Lie algebra
Kabiraj, Arpan1
1Department of Mathematics, Indian Institute of Science, Bangalore 560012, India
Algebraic and Geometric Topology, Tome 16 (2016) no. 5, pp. 2839-2849
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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.

DOI : 10.2140/agt.2016.16.2839
Classification : 57M50, 57M07, 57M05
Keywords: Goldman Lie algebra, hyperbolic surfaces

Kabiraj, Arpan  1

1 Department of Mathematics, Indian Institute of Science, Bangalore 560012, India 
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Kabiraj, Arpan. Center of the Goldman Lie algebra. Algebraic and Geometric Topology, Tome 16 (2016) no. 5, pp. 2839-2849. doi: 10.2140/agt.2016.16.2839

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