3 papers
math.DG2026
The Newlander-Nirenberg theorem for complex -manifolds
Tatyana Barron, Michael Francis
Melrose defined the b-tangent bundle of a smooth manifold M with boundary as the vector bundle whose sections are vector fields on M tangent to the boundary. Mendoza defined a comp…
math.DS2026
On the spectrum of non-ergodic measures
Michael Francis, Christopher Ramsey, Nicolae Strungaru
Consider a topological dynamical system where the group is abelian and the topologies are locally compact and second-countable. Given an invariant measure for this system, we show…
math.OA2024
On singular foliations tangent to a given hypersurface
Michael Francis
We consider a class of singular foliations in the sense of Androulidakis and Skandalis that we call transverse order foliations. These have a finite number of leaves: one hyper…