Grothendieck-Teichmueller group and Poisson cohomologies
Johan Alm, Sergei Merkulov
TL;DR
This paper explores how the Grothendieck-Teichmüller group acts on the Poisson cohomologies of Poisson manifolds, revealing new symmetries and structures.
Contribution
It introduces a novel analysis of the GRT group's action on Poisson cohomologies, linking algebraic and geometric aspects.
Findings
Identifies specific GRT actions on Poisson cohomology groups
Establishes connections between GRT symmetries and Poisson structures
Provides new insights into the algebraic structure of Poisson manifolds
Abstract
We study actions of the Grothendieck-Teichm\"uller group GRT on Poisson cohomologies of Poisson manifolds.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Geometric and Algebraic Topology · Algebraic structures and combinatorial models