Homological mirror symmetry for the quintic 3–fold

Nohara, Yuichi¹ ; Ueda, Kazushi²

¹ Faculty of Education, Kagawa University, 1-1 Saiwai-cho, Takamatsu 760-8522, Japan
² Department of Mathematics, Osaka University, Graduate School of Science, Machikaneyama 1-1, Toyonaka 560-0043, Japan

Geometry & topology, Tome 16 (2012) no. 4, pp. 1967-2001.

Résumé

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.

Détail

DOI : 10.2140/gt.2012.16.1967

Classification : 53D37, 14J33
Keywords: homological mirror symmetry

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