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We study SYZ mirror symmetry in the context of non-Kaehler Calabi-Yau manifolds.
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K. Chan and N.C. Leung, Mirror symmetry for toric Fano manifolds via SYZ transformations , Adv. Math. 223
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J. Fu, On non-Kähler Calabi-Yau threefolds with balanced metrics , Proceedings of the International Congress of Mathematicians. Volume II, Hindustan Book Agency, New Delhi, 2010, pp. 705–716
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M. Graña, R. Minasian, M. Petrini, and A. Tomasiello, Generalized structures of N = 1 N=1 vacua , J. High Energy Phys. 0511
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N.C. Leung, Mirror symmetry without corrections , Comm. Anal. Geom. 13
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C.-H. Cho and Y.-G. Oh, Floer cohomology and disc instantons of Lagrangian torus fibers in Fano toric manifolds , Asian J. Math. 10
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C.-C. Wu, On the geometry of superstrings with torsion , ProQuest LLC, Ann Arbor, MI, 2006, Thesis (Ph.D.)–Harvard University
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D. Auroux, Mirror symmetry and T T -duality in the complement of an anticanonical divisor , J. Gökova Geom. Topol. GGT 1
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by same author, A scan for new N = 1 N=1 vacua on twisted tori , J. High Energy Phys. (2007), no. 0705, 031
2007
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P. Grange and S. Schäfer-Nameki, Towards mirror symmetry à la SYZ for generalized Calabi-Yau manifolds , J. High Energy Phys. 0710
2007
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2010
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K.-L. Chan, N.-C. Leung, and C. Ma, Flat branes on tori and Fourier transforms in the SYZ programme , Proceedings of Gokova Geometry-Topology Conference (2011), 1–30
2011
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M. Gross and B. Siebert, From real affine geometry to complex geometry , Ann. of Math. (2) 174
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M. Gualtieri, Generalized complex geometry , Ann. of Math. (2) 174
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K. Chan, S.-C. Lau, and N.C. Leung, SYZ mirror symmetry for toric Calabi-Yau manifolds , J. Differential Geom. 90
2012
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J. Fu, J. Li, and S.-T. Yau, Balanced metrics on non-Kähler Calabi-Yau threefolds , J. Differential Geom. 90
2012
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L.-S. Tseng and S.-T. Yau, Cohomology and Hodge theory on symplectic manifolds: I , J. Differential Geom. 91
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by same author, Cohomology and Hodge theory on symplectic manifolds: II , J. Differential Geom. 91
2012
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J. Fine and D. Panov, The diversity of symplectic Calabi-Yau 6-manifolds , J. Topol. 6
2013
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D. Prins and D. Tsimpis, IIB supergravity on manifolds with SU(4) structure and generalized geometry , JHEP 1307
2013
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D. Rosa, Generalized geometry of two-dimensional vacua , JHEP 1407
2014
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