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SU(2) -invariant -instantons
Jason D Lotay1, Goncalo Oliveira2
11Department of Mathematics, University College London, London, WC1E 6BT UK.
Abstract:
We initiate the systematic study of -instantons with SU(2) -symmetry. As well as developing foundational theory, we give existence, non-existence and classification results for these instantons. We particularly focus on with its two explicitly known distinct holonomy metrics, which have different volume growths at infinity, exhibiting the different behaviour of instantons in these settings. We also give an explicit example of sequences of -instantons where "bubbling" and "removable singularity" phenomena occur in the limit.
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