The Goldman-Turaev Lie bialgebra and the Johnson homomorphisms
Nariya Kawazumi, Yusuke Kuno
TL;DR
This paper explores the geometric approach to Johnson homomorphisms through the Goldman-Turaev Lie bialgebra, providing insights into their algebraic and topological structures.
Contribution
It introduces a geometric framework connecting Johnson homomorphisms with the Goldman-Turaev Lie bialgebra, offering new perspectives on their algebraic properties.
Findings
Establishes a link between Johnson homomorphisms and Goldman-Turaev Lie bialgebra
Provides a geometric interpretation of algebraic structures
Highlights potential applications in low-dimensional topology
Abstract
We survey a geometric approach to the Johnson homomorphisms using the Goldman-Turaev Lie bialgebra.
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Taxonomy
TopicsAdvanced Topics in Algebra · Nonlinear Waves and Solitons · Algebraic structures and combinatorial models