24 citations · 46 across the 5 of their papers we have counts for
9 papers · 1 filter
Continued fractions and Einstein manifolds of infinite topological type
David M. J. Calderbank, Michael A. Singer
We present a construction of complete self-dual Einstein metrics of negative scalar curvature on an uncountable family of manifolds of infinite topological type, which are enumerat…
Construction of Kaehler surfaces with constant scalar curvature
Yann Rollin, Michael A. Singer
We present new constructions of Kaehler metrics with constant scalar curvature on complex surfaces, in particular on certain del Pezzo surfaces. Some higher dimensional examples ar…
Toric selfdual Einstein metrics on compact orbifolds
David M. J. Calderbank, Michael A. Singer
We prove that any compact selfdual Einstein 4-orbifold of positive scalar curvature whose isometry group contains a 2-torus is, up to an orbifold covering, a quaternion Kaehler quo…
Non-minimal scalar-flat Kaehler surfaces and parabolic stability
Yann Rollin, Michael A. Singer
A new construction is presented of scalar-flat Kaehler metrics on non-minimal ruled surfaces. The method is based on the resolution of singularities of orbifold ruled surfaces whic…
Gerbes, Clifford modules and the index theorem
Michael K. Murray, Michael A. Singer
The use of bundle gerbes and bundle gerbe modules is considered as a replacement for the usual theory of Clifford modules on manifolds that fail to be spin. It is shown that both s…
Hyperbolic monopoles and holomorphic spheres
Michael K. Murray, Paul Norbury, Michael A. Singer
We associate to an SU(2) hyperbolic monopole a holomorphic sphere embedded in projective space and use this to uncover various features of the monopole.