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<p>Perverse schobers are categorifications of perverse sheaves. We construct a perverse schober on a partial compactification of the stringy Kähler moduli space (SKMS) associated by Halpern-Leistner and Sam to a quasi-symmetric representation <i>X</i> of a reductive group <i>G</i>, extending the local system of triangulated categories exhibited by them. The triangulated categories appearing in our perverse schober are subcategories of the derived category of the quotient stack <i>X</i>/<i>G</i>.</p>

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A class of perverse schobers in Geometric Invariant Theory

  • 期刊论文

  • 发表日期：

    2026年2月10日

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  • Špela Špenko,
  • Michel Van den Bergh

摘要

Perverse schobers are categorifications of perverse sheaves. We construct a perverse schober on a partial compactification of the stringy Kähler moduli space (SKMS) associated by Halpern-Leistner and Sam to a quasi-symmetric representation X of a reductive group G, extending the local system of triangulated categories exhibited by them. The triangulated categories appearing in our perverse schober are subcategories of the derived category of the quotient stack X/G.