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Homological mirror symmetry for the quintic 3–fold

Yuichi Nohara and Kazushi Ueda

Geometry & Topology 16 (2012) 1967–2001

DOI: 10.2140/gt.2012.16.1967
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.

Keywords

homological mirror symmetry
Mathematical Subject Classification

Primary: 53D37

Secondary: 14J33
References
Publication

Received: 21 September 2011
Revised: 9 May 2012
Accepted: 21 June 2012
Published: 27 August 2012
Proposed: Jim Bryan
Seconded: Richard Thomas, Simon Donaldson
Authors
Yuichi Nohara
Faculty of Education
Kagawa University
1-1 Saiwai-cho
Takamatsu 760-8522
Japan
Kazushi Ueda
Department of Mathematics
Osaka University
Graduate School of Science
Machikaneyama 1-1
Toyonaka 560-0043
Japan
http://www.math.sci.osaka-u.ac.jp/~kazushi/