4 papers
Indecomposable Quasiconformal Maps of Manifolds
Benjamin B. McMillan
We demonstrate the existence of quasiconformal mappings on closed manifolds that cannot be decomposed as a composition of mappings with arbitrarily small conformal distortion.
Foliation surgeries and the concordance groups of foliated spheres
Benjamin B. McMillan
We define a general procedure extending surgery to manifolds with foliation or Haefliger structure. We find a single obstruction to foliation surgery along an attaching sphere. Whe…
Chern-Weil theory for Haefliger-singular foliations
Lachlan Ewen MacDonald, Benjamin McMillan
We give a Chern-Weil map for the Gel'fand-Fuks characteristic classes of Haefliger-singular foliations, those foliations defined by smooth Haefliger structures with dense regular s…
The range of a connection and a Calabi operator for Lorentzian locally symmetric spaces
Federico Costanza, Michael Eastwood, Thomas Leistner +1
For semi-Riemannian manifolds of constant sectional curvature, the Calabi operator is a second order linear differential operator that provides local integrability conditions for t…