Monopoles on Sasakian Three-folds

Abstract

We consider monopoles with singularities of Dirac type on quasiregular Sasakian three-folds fibering over a compact Riemann surface $\Sigma$, for example the Hopf fibration $S^3⟶S^2$. We show that these correspond to holomorphic objects on $\Sigma$, which we call twisted bundle triples. These are somewhat similar to Murray's bundle gerbes. A spectral curve construction allows us to classify these structures, and, conjecturally, monopoles.

References in corpus (1)

• Singular Monopoles and Gravitational Instantons

Cited by in corpus (1)

• Ricci-Positive geodesic flows and point-completion of static monopole fields