76 citations · 382 across the 37 of their papers we have counts for
8 papers · 1 filter
Gravitational Instantons as Superpositions of Atiyah-Hitchin and Taub-NUT Geometries
Bernd Schroers, Michael Singer
We obtain ALF gravitational instantons by a gluing construction which captures, in a precise and explicit fashion, their interpretation as non-linear superpositions of the mo…
Local rigidity of Einstein 4-manifolds satisfying a chiral curvature condition
Joel Fine, Kirill Krasnov, Michael Singer
Let (M,g) be a compact oriented Einstein 4-manifold. Write R-plus for the part of the curvature operator of g which acts on self-dual 2-forms. We prove that if R-plus is negative d…
Monopoles and the Sen Conjecture: Part I
Karsten Fritzsch, Chris Kottke, Michael Singer
We describe compactifications of the moduli spaces of SU(2) monopoles on R3 as manifolds with corners, with respect to which the hyperKaehler metrics admit asymptotic expansions up…
The space of hyperkähler metrics on a 4-manifold with boundary
Joel Fine, Jason D. Lotay, Michael Singer
Let X be a compact 4-manifold with boundary. We study the space of hyperkähler triples on X, modulo diffeomorphisms which are the identity on the boundary. We prove that this modul…
Partial compactification of monopoles and metric asymptotics
Chris Kottke, Michael Singer
We construct a partial compactification of the moduli space, M_k, of SU(2) magnetic monopoles on R^3, wherein monopoles of charge k decompose into widely separated 'monopole cluste…
Scattering configuration spaces
Richard Melrose, Michael Singer
For a compact manifold with boundary we introduce the -fold scattering stretched product which is a compact manifold with corners for each coinciding…