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Ribbon structures in derived categories of coherent sheaves on hyperkahler manifolds appeared for the first time in the work of Roberts and Willerton regarding Lie type structures in Rozansky-Witten (Selecta Math, New Ser 3:401–458, 1997) theory. After that, part of this approach was extended to symplectic Lie pairs by Voglaire-Xu and by Chen-Stienon-Xu. We intend to review this topic and discuss the existence of ribbon structures in the general context of symplectic Lie pairs.

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Ribbon Structures Derived from Homotopy Leibniz Algebras and Symplectic Lie Pairs

  • 会议论文

  • 发表日期：

    2025年

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  • C. Anghel,
  • D. Cheptea

摘要

Ribbon structures in derived categories of coherent sheaves on hyperkahler manifolds appeared for the first time in the work of Roberts and Willerton regarding Lie type structures in Rozansky-Witten (Selecta Math, New Ser 3:401–458, 1997) theory. After that, part of this approach was extended to symplectic Lie pairs by Voglaire-Xu and by Chen-Stienon-Xu. We intend to review this topic and discuss the existence of ribbon structures in the general context of symplectic Lie pairs.