Formality of differential graded algebras and complex Lagrangian submanifolds

• Borislav Mladenov ^[1]
  1. [1] University of California System

     University of California System

     Estados Unidos

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 30, Nº. 1, 2024, 42 págs.
• Idioma: inglés
• DOI: 10.1007/s00029-023-00894-3
• Texto completo no disponible (Saber más ...)
• Resumen

  • Let i : L −→ X be a compact Kähler Lagrangian in a holomorphic symplectic variety X/C. We use deformation quantisation to show that the endomorphism differential graded algebra RHom i∗K1/2 L ,i∗K1/2 L is formal. We prove a generalisation to pairs of Lagrangians, along with auxiliary results on the behaviour of formality in families of A∞-modules.

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