A class of perverse schobers in Geometric Invariant Theory

• Špela Špenko ^[1] ; Michel Van den Bergh ^[2]
  1. [1] Vrije Universiteit Brussel

     Vrije Universiteit Brussel

     Arrondissement Brussel-Hoofdstad, Bélgica

     
  2. [2] University of Hasselt

     University of Hasselt

     Arrondissement Hasselt, Bélgica

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 32, Nº. 2, 2026
• Idioma: inglés
• DOI: 10.1007/s00029-025-01122-w
• Enlaces
  • Texto completo
• Resumen

  • 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.

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