SYMPLECTIC GEOMETRY ON MODULI SPACES OF HOLOMORPHIC BUNDLES OVER COMPLEX SURFACES
SYMPLECTIC GEOMETRY ON MODULI SPACES OF HOLOMORPHIC BUNDLES OVER COMPLEX SURFACES
复制标题
复杂曲面上全纯束模空间上的辛几何
DOI：
10.1090/fic/024/19
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发表时间：
2000
期刊：
影响因子：
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通讯作者：
A. Rosly
中科院分区：
文献类型：
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作者：
B. Khesin;A. Rosly
给出了真实的曲面上平坦联络模空间上的Poisson结构和复曲面上全纯丛模空间上的全纯Poisson结构的比较描述.后者的辛叶被分类的限制束某些因子。这可以被看作是固定一个“完整性的复杂模拟”的连接沿着一个“边界的复杂模拟”的类比与真实的情况。
We give a comparative description of the Poisson structures on the moduli spaces of flat connections on real surfaces and holomorphic Poisson structures on the moduli spaces of holomorphic bundles on complex surfaces. The symplectic leaves of the latter are classified by restrictions of the bundles to certain divisors. This can be regarded as fixing a “complex analogue of the holonomy” of a connection along a “complex analogue of the boundary” in analogy with the real case.