3 papers
math.DG2024
New cohomological invariants of foliations
Georges Habib, Ken Richardson
Given a smooth foliation on a closed manifold, basic forms are differential forms that can be expressed locally in terms of the transverse variables. The space of basic forms yield…
math.DG2024
Transverse geometric formality
Georges Habib, Ken Richardson, Robert Wolak
A Riemannian metric on a closed manifold is said to be geometrically formal if the wedge product of any two harmonic forms is harmonic; equivalently, the interior product of any tw…
math.DG2024
The eta invariant on two-step nilmanifolds
Ruth Gornet, Ken Richardson
The eta invariant appears regularly in index theorems but is known to be directly computable from the spectrum only in certain examples of locally symmetric spaces of compact type.…