Dirac operator coupled to instantons on positive definite 4 manifolds

Details Dirac operator coupled to instantons on positive definite 4 manifolds Dirac operator coupled to instantons on positive definite 4 manifolds

2003-09-30

arxiv.org/abs/math/0309467v1

Mathematics

Algebraic Topology

15 pages

Scientific paper

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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