New method constructs multi-monopoles on mapping tori.
arXiv research
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Computes the Euler characteristic and rational homology of moduli spaces of multi-monopoles.
We propose a way of computing 4-manifold invariants, old and new, as chiral correlation functions in half-twisted 2d theories that arise from compactification of fivebranes. Such formulation gives a new interpretation of some known statements about Seiberg-Witten invariants, such as the basic class …
On a complete manifold, such as Euclidean 3-space or hyperbolic 3-space, the limit at infinity of the norm of the Higgs field is called the mass of the monopole. We show the existence, on hypebolic 3-space, of monopoles with given magnetic charge and arbitrary mass. Previously, aside from charge one monopoles, existenc…