正定四维流形上与瞬子耦合的Dirac算子
Dirac operator coupled to instantons on positive definite 4 manifolds
摘要:
通过分析以模空间为参数的Dirac算子族的指标丛的分类映射,研究了单连通正定四维流形上瞬子的模空间.作为应用,我们计算了荷为2的模空间在秩稳定极限下的上同调环。
英文摘要:
We study the moduli space of instantons on a simply connected positive definite four manifold by analyzing the classifying map of the index bundle of a family of Dirac operators parametrized by the moduli space. As applications we compute the cohomology ring for the charge 2 moduli space in the rank stable limit.
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