16 citations · 16 across the 2 of their papers we have counts for
4 papers · 1 filter
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.
Yet another construction of the central extension of the loop group
Michael K. Murray, Daniel Stevenson
We give a characterisation of central extensions of a Lie group G by the non-zero complex numbers in terms of a differential two-form on G and a differential one-form on GxG. This…
Bundle gerbes: stable isomorphism and local theory
Michael K. Murray, Daniel Stevenson
We consider the notion of stable isomorphism of bundle gerbes. It has the consequence that the stable isomorphism classes of bundle gerbes over a manifold M are in bijective corres…