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On the Existence of Stable bundles with prescribed Chern classes on Calabi-Yau threefolds

By Bjorn Andreas and Gottfried Curio

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.Comment: 9 page

Topics: Mathematics - Algebraic Geometry, High Energy Physics - Theory, Mathematics - Differential Geometry
Year: 2011
OAI identifier: oai:arXiv.org:1104.3435
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