Homological mirror symmetry for the quintic 3–fold

We prove homological mirror symmetry for the quintic Calabi-Yau 3-fold.The proof follows that for the quartic surface by Seidel [16] closely, and uses a result of Sheridan [23].In contrast to Sheridan's approach [22], our proof gives the compatibility of homological mirror symmetry for the projective space and its Calabi-Yau hypersurface.