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arXiv preprint arXiv:2006.01069 , year=

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The derived moduli of perverse sheaves

math.AG · 2026-06-26 · unverdicted · novelty 7.0

Constructs derived moduli stacks for constructible and perverse sheaves on varieties, generalizing character stacks and producing new CoHAs on punctured surfaces.

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  • The derived moduli of perverse sheaves math.AG · 2026-06-26 · unverdicted · none · ref 2

    Constructs derived moduli stacks for constructible and perverse sheaves on varieties, generalizing character stacks and producing new CoHAs on punctured surfaces.

  • Lagrangian correspondences of nonabelian Hodge type and shifted twistor structures math.AG · 2026-06-29 · unverdicted · none · ref 68 · 2 links

    Proves Lagrangian correspondences in nonabelian Hodge theory for perfect complexes and establishes canonical shifted pretwistor structures on the Deligne-Hitchin-Simpson moduli stack over P^1_C.