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Bubble tree compactification of instanton moduli spaces

Qiao, Shuaige

Description

We study the compactification of moduli spaces defined by the anti-self-dual (ASD) Yang-Mills equations on SU(2) or SO(3) bundles over closed oriented Riemannian 4-manifolds and 4-orbifolds. In general the ASD moduli space is not compact since the curvature of a sequence of connections may blow up at some points in the manifold. There is a widely-used version of compactification called Uhlenbeck compactification. The idea is to add “ideal connections” to the ASD moduli space as limit points of...[Show more]

CollectionsOpen Access Theses
Date published: 2021
Type: Thesis (PhD)
URI: http://hdl.handle.net/1885/233020
DOI: 10.25911/B3M9-WX61

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