A new approach to monopole moduli spaces

Abstract

We introduce a new way to study both Euclidean and hyperbolic monopole moduli spaces. The idea is to apply Kodaira's deformation theory to the spectral curve in an appropriate ambient space. Using this we are able to recover the usual hyperkähler structure on the Euclidean monopole moduli space and to identify a new type of geometry on the hyperbolic monopole moduli space.