Guangxiang Su

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math.DG2023

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…

math.DG2023

Spectral Flow, Llarull's Rigidity Theorem in Odd Dimensions and its Generalization

Yihan Li, Guangxiang Su, Xiangsheng Wang

For a compact spin Riemannian manifold $(M, g^{T M})$ of dimension $n$ such that the associated scalar curvature $k^{T M}$ verifies that $k^{T M} ⩾ n (n - 1)$ , Llarull's rigidity t…

math.DG2017

Non-commutative analytic torsion form on the transformation groupoid convolution algebra

Bing Kwan So, GuangXiang Su

Given a fiber bundle $Z \to M \to B$ and a flat vector bundle $E \to M$ with a compatible action of a discrete group $G$ , and regarding $B / G$ as the non-commutative space corresp…