3 papers
math.DG2021
On the pseudogroup of local transformations commuting with a transversely elliptic operator and the existence of transverse metric
Wenran Liu
The group of diffeomorphisms commuting with an elliptic operator on a manifold is a compact Lie group under Compact-Open topology. In foliation theory, pseudogroup is introduced by…
math.DG2021
A generalization of Molino's theory and equivariant basic Â-genus characters
Wenran Liu
Molino's theory is a mathematical tool for studying Riemannian foliations. In this paper, we propose a generalization of Molino's theory with two Riemannian foliations. For this pu…
math.DG2018
Chern characters in equivariant basic cohomology
Wenran Liu
From 1980s, it is an open problem of proposing cohomologic formula for the basic index of a transversally elliptic basic differential operator on a vector bundle over a foliated ma…