Homological mirror symmetry for the quintic 3–fold

Abstract

We prove homological mirror symmetry for the quintic Calabi–Yau 3–fold. The proof follows that for the quartic surface by Seidel closely, and uses a result of Sheridan. In contrast to Sheridan’s approach, our proof gives the compatibility of homological mirror symmetry for the projective space and its Calabi–Yau hypersurface.