We show that the moduli space $M$ of holomorphic vector bundles on $CP^3$that are trivial along a line is isomorphic (as a complex manifold) to asubvariety in the moduli of rational curves of the twistor space of the modulispace of framed instantons on $\R^4$, called the space of twistor sections. Wethen use this characterization to prove that $M$ is equipped with atorsion-free affine connection with holonomy in $Sp(2n,\C)$.
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机译:我们证明了$ CP ^ 3 $上沿线是微不足道的全纯矢量束的模空间$ M $是同构的(作为复流形),对于框架的模空间的扭曲空间的有理曲线的模的子变量$ \ R ^ 4 $上的瞬时子,称为扭曲部分的空间。然后,我们使用该特征来证明$ M $在$ Sp(2n,\ C)$中具有完整的无代数仿射连接。
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