1 citations · 1 across the 5 of their papers we have counts for
7 papers
Leafwise positive scalar curvature and the Rosenberg index
Guangxiang Su, Zelin Yi
Let be a closed spin manifold, in this paper, we show that if there is a foliation and a Riemannian metric on that has leafwise positive scalar curvature then the R…
Asymptotic pseudodifferential calculus and the rescaled bundle
Xiaoman Chen, Zelin Yi
By following a groupoid approach to pseudodifferential calculus developed by Van erp and Yuncken, we study the parallel theory on the rescaled bundle and show that the rescaled bun…
Enlargeable Foliations and the Monodromy Groupoid: Infinite Covers
Guangxiang Su, Zelin Yi
In this paper, we prove that the foliated Rosenberg index of a possibly noncompactly enlargeable, spin foliation is nonzero. It generalizes our previous result. The difficulty brou…
Enlargeable foliations and the monodromy groupoid
Guangxiang Su, Zelin Yi
Let be a spin manifold, the Dirac operator with coefficient in the universal flat Hilbert -module determines a "Rosenberg index element" which, according to B.Ha…
A Short Proof of the Localization Formula for the Loop Space Chern Character of Spin Manifolds
Matthias Ludewig, Zelin Yi
In this note, we give a short proof of the localization formula for the loop space Chern character of a compact Riemannian spin manifold M, using the rescaled spinor bundle on the…
A Groupoid Proof of the Lefschetz fixed point formula
Zelin Yi
The purpose of this article is to present a "Groupoid proof" to the Lefschetz fixed point formula for elliptic complexes. We shall define a "relative version" of tangent groupoid,…
Spinors and the tangent groupoid
Nigel Higson, Zelin Yi
The purpose of this article is to study Ezra Getzler's approach to the Atiyah-Singer index theorem from the perspective of Alain Connes' tangent groupoid. We shall construct a "res…