Moduli spaces of stable bundles on Calabi–Yau varieties and Donaldson–Thomas invariants

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• 作者：L. Costa^a ; ^{costa@ub.edu"" rel=""nofollow}
• 关键词：Moduli spaces ; Vector bundles ; Calabi&#x2013 ; Yau varieties ; Donaldson&#x2013 ; Thomas invariants
• 刊名：Journal of Geometry and Physics
• 出版年：2011
• 出版时间：November 2011
• 年：2011
• 卷：61
• 期：11
• 页码：2108-2119
• 全文大小：279 K

文摘

Let Y be a smooth Calabi–Yau hypersurface of where stands for a -bundle over . We will prove that for many ample line bundles L and certain Chern characters , the moduli space (resp.) of L-Gieseker semistable (resp. L-stable ) rank two torsion free sheaves (resp. vector bundles) on Y with Chern character are smooth and irreducible and we will compute its dimension. Moreover, we will prove that both moduli spaces coincide. As a byproduct of the geometrical description of these moduli spaces, we will compute the Donaldson–Thomas invariants of some Calabi–Yau 3-folds.