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Recent developments in (0,2) mirror symmetry
Symmetry, integrability and geometry: methods and applications, Tome 8 (2012) Cet article a éte moissonné depuis la source Math-Net.Ru

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Mirror symmetry of the type II string has a beautiful generalization to the heterotic string. This generalization, known as (0,2) mirror symmetry, is a field still largely in its infancy. We describe recent developments including the ideas behind quantum sheaf cohomology, the mirror map for deformations of (2,2) mirrors, the construction of mirror pairs from worldsheet duality, as well as an overview of some of the many open questions. The (0,2) mirrors of Hirzebruch surfaces are presented as a new example.
Keywords: mirror symmetry; (0,2) mirror symmetry; quantum sheaf cohomology. 
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     author = {Ilarion Melnikov and Savdeep Sethi and Eric Sharpe},
     title = {Recent developments in (0,2) mirror symmetry},
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     year = {2012},
     volume = {8},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2012_8_a67/}
}
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Ilarion Melnikov; Savdeep Sethi; Eric Sharpe. Recent developments in (0,2) mirror symmetry. Symmetry, integrability and geometry: methods and applications, Tome 8 (2012). http://geodesic.mathdoc.fr/item/SIGMA_2012_8_a67/

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