Moduli stacks for diagrams of λ-connections are constructed and proven algebraic when the base is a smooth projective scheme over an algebraically closed field of characteristic zero.
Moduli stacks of quiver bundles with applications to H iggs bundles, ar X iv:2407.11958
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The authors introduce Nakajima bundle representations on curves that generalize both ordinary Nakajima quiver representations and quiver bundles, prove a Hitchin-Kobayashi correspondence, and construct associated moduli varieties via moment-map reduction.
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Moduli stacks of quiver connections and non-Abelian Hodge theory
Moduli stacks for diagrams of λ-connections are constructed and proven algebraic when the base is a smooth projective scheme over an algebraically closed field of characteristic zero.
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Nakajima quiver bundles
The authors introduce Nakajima bundle representations on curves that generalize both ordinary Nakajima quiver representations and quiver bundles, prove a Hitchin-Kobayashi correspondence, and construct associated moduli varieties via moment-map reduction.