Generators of the homological Goldman Lie algebra
Nariya Kawazumi, Yusuke Kuno, Kazuki Toda
TL;DR
This paper identifies the minimal set of generators needed for the homological Goldman Lie algebra associated with a surface, advancing understanding of its algebraic structure.
Contribution
It determines the minimal number of generators required for the homological Goldman Lie algebra of a surface, providing new insights into its algebraic properties.
Findings
Exact minimal number of generators identified
Structural properties of the algebra elucidated
Implications for surface topology and algebraic structures
Abstract
We determine the minimal number of generators of the homological Goldman Lie algebra of a surface consisting of elements of the first homology group of the surface.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Advanced Topics in Algebra