The work extends non-abelian Hodge theory to transitive Lie algebroids, constructs semiprojective moduli spaces via GIT and Tannakian formalism, and derives a motivic description of their smooth loci in the Grothendieck ring.
Moduli spaces of flat Lie algebroid connections
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abstract
We shall prove that a moduli space of flat irreducible Lie algebroid connections over a compact manifold has locally a natural structure of a smooth differentiable space. This is a generalization of some well known results for the moduli space of holomorphic structures on a complex vector bundle over a compact complex manifold.
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2026 1verdicts
UNVERDICTED 1representative citing papers
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Lie algebroid Connections, Moduli of $\mathcal{L}$--twisted Principal Objects and motives
The work extends non-abelian Hodge theory to transitive Lie algebroids, constructs semiprojective moduli spaces via GIT and Tannakian formalism, and derives a motivic description of their smooth loci in the Grothendieck ring.