On the existence of stable bundles with prescribed Chern classes on Calabi-Yau threefolds

JOURNAL OF GEOMETRY AND PHYSICS

卷:76

Article

Andreas, Bjoern¹  Curio, Gottfried² 

[1] Free Univ Berlin, Inst Math, D-14195 Berlin, Germany

[2] Univ Munich, Dept Phys, Arnold Sommerfeld Ctr Theoret Phys, D-80333 Munich, Germany

关键词: Stable bundles;    Calabi-Yau threefolds;    Spectral covers;    Heterotic string;   

DOI  :  10.1016/j.geomphys.2013.10.025

来源: Elsevier

【 摘 要 】

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. (C) 2013 Elsevier B.V. All rights reserved.

【 授权许可】

Free