Kabiraj, Arpan (2017) Center of the Goldman Lie algebra. In: Algebraic and Geometric Topology, 16 (5). pp. 2839-2849.
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Official URL: http://dx.doi.org/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.
Item Type: | Journal Article |
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Publication: | Algebraic and Geometric Topology |
Publisher: | GEOMETRY & TOPOLOGY PUBLICATIONS, UNIV WARWICK, MATHEMATICS INST, COVENTRY CV4 7AL, ENGLAND |
Additional Information: | Copy right for this article belongs to the GEOMETRY & TOPOLOGY PUBLICATIONS, UNIV WARWICK, MATHEMATICS INST, COVENTRY CV4 7AL, ENGLAND |
Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
Date Deposited: | 09 Mar 2017 05:52 |
Last Modified: | 09 Mar 2017 05:52 |
URI: | http://eprints.iisc.ac.in/id/eprint/56343 |
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