A gerby deformation of complex tori and the homological mirror symmetry
Author:
Affiliation:
1. Department of Mathematics, Faculty of Education, Mie University
Publisher
Tokyo Institute of Technology, Department of Mathematics
Subject
General Mathematics
Reference36 articles.
1. [1] M. Abouzaid and I. Smith, Homological mirror symmetry for the four-torus, Duke Mathematical Journal 152 (2010), 373-440.
2. [2] D. Arinkin and A. Polishchuk, Fukaya category and Fourier transform, AMS/IP Studies in Advanced Mathematics 23 (2001), 261-274.
3. [3] O. Ben-Bassat, Mirror symmetry and generalized complex manifolds: Part I. The transform on vector bundles, spinors, and branes, Journal of Geometry and Physics 56 (2006), 533-558.
4. [4] O. Ben-Bassat, Mirror symmetry and generalized complex manifolds: Part II. Integrability and the transform for torus bundles, Journal of Geometry and Physics 56 (2006), 1096-1115.
5. [5] O. Ben-Bassat, J. Block and T. Pantev, Non-commutative tori and Fourier-Mukai duality, Compositio Mathematica 143 (2007), 423-475.
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