The Weil--Petersson metric on the moduli space of stable vector bundles and sheaves on an algebraic surface
Izvestiya. Mathematics , Tome 38 (1992) no. 3, pp. 599-620

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A twistor description of the Weil–Petersson metric on the moduli space of stable vector bundles on a K3-surface with hyper-Kahler structure is given, and this metric is extended to the compactification of the moduli space by torsion-free sheaves.
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     author = {A. N. Tyurin},
     title = {The {Weil--Petersson} metric on the moduli space of stable vector bundles and sheaves on an algebraic surface},
     journal = {Izvestiya. Mathematics },
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     volume = {38},
     number = {3},
     year = {1992},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1992_38_3_a7/}
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A. N. Tyurin. The Weil--Petersson metric on the moduli space of stable vector bundles and sheaves on an algebraic surface. Izvestiya. Mathematics , Tome 38 (1992) no. 3, pp. 599-620. http://geodesic.mathdoc.fr/item/IM2_1992_38_3_a7/