An application of transversality to the topology of the moduli space of stable bundles
An application of transversality to the topology of the moduli space of stable bundles
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横截性在稳定丛模空间拓扑中的应用
DOI：
10.1016/0040-9383(94)e0014-b
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发表时间：
1995
期刊：
影响因子：
--
通讯作者：
Karen K. Uhlenbeck
中科院分区：
文献类型：
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作者：
Georgios Daskalopoulos;Karen K. Uhlenbeck
稳定丛的模空间的拓扑已经被Harder-Narasimhan、Atiyah-Bott和Kirwan等人广泛研究。在某些情况下，已经得到了稳定丛空间的上同调的明确公式（参见。[7，3，9]）。设M是亏格为g2 2的黎曼曲面，E是秩为n的第一Chern类k的全纯向量丛.我们记得，E称为稳定的，如果对E的任何全纯子丛F，下列不等式成立：
THE topology of the moduli space of stable bundles has been studied extensively by Harder-Narasimhan, Atiyah-Bott and Kirwan among others. In certain cases explicit formulas have been obtained for the cohomology of the space of stable bundles (cf.[7, 3, 9]). More precisely, let M be a Riemann surface of genus g 2 2 and let E be a holomorphic vector bundle of rank n and first Chern class k. We recall that E is called stable if, for any holomorphic subbundle F of E, the following inequality holds: