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Center of the Goldman Lie Algebra
Published in Mathematical Sciences Publishers
2016
Volume: 16
   
Issue: 5
Pages: 2839 - 2849
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. © 2016, Mathematical Sciences Publishers. All rights reserved.
About the journal
JournalAlgebraic and Geometric Topology
PublisherMathematical Sciences Publishers
ISSN14722747