Disk Amplitudes in Topological A-Model on Calabi-Yau Spaces and Fano   Manifolds
  We study topological A-model disk amplitudes with Calabi-Yau target spaces by mirror symmetries. This allows us to calculate holomorphic instantons of Riemann surfaces with boundaries that are mapped into susy cycles in Calabi-Yau d-folds. Also we analyse disk amplitudes in Fano manifold cases by considering fusion relations between A-model operators. 
Katsuyuki Sugiyama