Some examples of family Floer mirrors

Key Points

• Family Floer mirrors were explicitly calculated for specific non-compact Calabi-Yau surfaces, revealing intricate structures.
• These calculations show a link between the family Floer mirrors and log Calabi-Yau pairs, particularly in rank two cluster varieties.
• The study employs an analysis approach that relates analytifications to partial compactifications observed in earlier constructs.
• Highlights significant connections between family Floer mirrors and established mirror constructions in algebraic geometry.

Abstract