Stable rank-2 bundles on Calabi-Yau manifolds

被引:9
作者
Li, WP [1 ]
Qin, ZB
机构
[1] HKUST, Dept Math, Kowloon, Hong Kong, Peoples R China
[2] Univ Missouri, Dept Math, Columbia, MO 65211 USA
基金
美国国家科学基金会;
关键词
Walls; chambers; vector bundles; Calabi-Yau manifolds;
D O I
10.1142/S0129167X03002150
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we apply the technique of chamber structures of stability polarizations to construct the full moduli space of rank-2 stable sheaves with certain Chern classes on Calabi-Yau manifolds which are anti-canonical divisor of P-1 x P-n or a double cover of P-1 x P-n. These moduli spaces axe isomorphic to projective spaces. As an application, we compute the holomorphic Casson invariants defined by Donaldson and Thomas.
引用
收藏
页码:1097 / 1120
页数:24
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