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Dirac operator coupled to instantons on positive definite 4 manifolds

Joao P Santos
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Abstract

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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Joao P Santos. 2003-09-30. Dirac operator coupled to instantons on positive definite 4 manifolds. https://arxiv.org/abs/math/0309467

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