Center of the Goldman Lie Algebra

Arpan Kabiraj

doi:10.2140/agt.2016.16.2839

Center of the Goldman Lie Algebra

Arpan Kabiraj

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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.

Original language	English
Pages (from-to)	2839-2849
Number of pages	11
Journal	Algebraic and Geometric Topology
Volume	16
Issue number	5
DOIs	https://doi.org/10.2140/agt.2016.16.2839
State	Published - 7 Nov 2016
Externally published	Yes

Keywords

Goldman Lie algebra
Hyperbolic surfaces

ASJC Scopus subject areas

Geometry and Topology

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10.2140/agt.2016.16.2839

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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.",

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KW - Hyperbolic surfaces

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Center of the Goldman Lie Algebra

Abstract

Keywords

ASJC Scopus subject areas

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