Equivariant Kuznetsov components for cubic fourfolds with a symplectic involution

Key Points

• The research aims to explore the equivariant Kuznetsov component of cubic fourfolds impacted by a symplectic involution.
• Analyzed the symplectic action on cubic fourfolds
• Examined the derived category associated with the fixed locus
• Interpreted components of the Fano variety of lines
• Established equivalence between the equivariant Kuznetsov component and the derived category of a surface
• Identified the fixed locus as a critical component in the study