The second homology group of the homological Goldman Lie algebra
Kazuki Toda
TL;DR
This paper calculates the second homology group of the homological Goldman Lie algebra associated with an oriented surface, providing new insights into its algebraic structure.
Contribution
It precisely determines the second homology group of the homological Goldman Lie algebra, a novel result in the study of surface-related Lie algebras.
Findings
Second homology group explicitly computed
Enhanced understanding of surface Lie algebra structures
New algebraic invariants identified
Abstract
We determine the second homology group of the homological Goldman Lie algebra for an oriented surface.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Advanced Topics in Algebra