Geodesic
Semiholomorphic structures
Izvestiya. Mathematics , Tome 62 (1998) no. 5, pp. 1055-1071

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We consider the $\operatorname{SU}(4)$-instanton equation on complex-oriented manifolds, introduce the notion of a semiholomorphic structure on bundles over these manifolds, and derive a condition for the notions of holomorphy and semiholomorphy to coincide. 
@article{IM2_1998_62_5_a8,
     author = {N. A. Tyurin},
     title = {Semiholomorphic structures},
     journal = {Izvestiya. Mathematics },
     pages = {1055--1071},
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     volume = {62},
     number = {5},
     year = {1998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1998_62_5_a8/}
}
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N. A. Tyurin. Semiholomorphic structures. Izvestiya. Mathematics , Tome 62 (1998) no. 5, pp. 1055-1071. http://geodesic.mathdoc.fr/item/IM2_1998_62_5_a8/