Article ID Journal Published Year Pages File Type
1893385 Journal of Geometry and Physics 2014 7 Pages PDF
Abstract

We prove a case of the conjecture of Douglas, Reinbacher and Yau about the existence of stable vector bundles with prescribed Chern classes on a Calabi–Yau threefold. For this purpose we prove the existence of certain stable vector bundle extensions over elliptically fibered Calabi–Yau threefolds.

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Physical Sciences and Engineering Mathematics Mathematical Physics
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On the existence of stable bundles with prescribed Chern classes on Calabi–Yau threefolds
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