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168,657 papers · 148 categories

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0111 · Apr 201019922001200920172026
2 results for “prestacks”
Moduli stacks of quiver connections and non-Abelian Hodge theorymath.AG

Constructs moduli stacks for quiver connections and extends non-Abelian Hodge theory.

problem Extending non-Abelian Hodge theory to moduli stacks of quiver connections.
method Formalizes and constructs moduli stacks of bundles with λ-connections over prestacks.
result Shows moduli stacks are algebraic and locally of finite presentation when base is smooth and projective.
moduli stacksquiver connectionsnon-Abelian Hodge theoryHiggs bundlesprestacks
2025-12-13abs ↗pdf ↗
Equivariance In Higher Geometrymath.AT

We study (pre-)sheaves in bicategories on geometric categories: smooth manifolds, manifolds with a Lie group action and Lie groupoids. We present three main results: we describe equivariant descent, we generalize the plus construction to our setting and show that the plus construction yields a 2-stackification for 2-pr…

2010-04-26abs ↗pdf ↗