Roger Bielawski (Glasgow):
Asymptotic monopole metrics
The natural hyperkaehler metric on the SU(2) monopole moduli
space of charge k exhibits an asymptotic behaviour respecting the cluster
decomposition of a k-monopole. I will describe the hyperkaehler metrics
which 1) are exponentially close to the monopole metric in the region were
monopoles separate into n clusters, and 2) admit a
Tn symmetry. These
metrics should be viewed as a deformation of the product of the monopole
metrics of lower charges which captures the interaction of the clusters.