6 citations · 6 across the 7 of their papers we have counts for
7 papers
Deformation and -theoretic Index Formulae on Boundary Groupoids
Yu Qiao, Bing Kwan So
Boundary groupoids were introduced by the second author, which can be used to model many analysis problems on singular spaces. In order to investigate index theory on boundary grou…
Analytic surgery and gluing of the Bismut-Lott torsion form and eta form
Bing Kwan So
Given a fiber bundle with closed connected fibers, and a family of separating hypersurfaces, we study the behavior of the Bismut-Lott analytic torsion form, and the eta form for a…
K-theory and index formulas for boundary groupoid C*-algebras
Bing Kwan So
We compute explicitly the K-groups of some boundary groupoid C*-algebras with exponential isotropy subgroups. Then we derive index formulas that computes the K-theoretic and Fredho…
Non-commutative analytic torsion form on the transformation groupoid convolution algebra
Bing Kwan So, GuangXiang Su
Given a fiber bundle and a flat vector bundle with a compatible action of a discrete group , and regarding as the non-commutative space corresp…
Exponential coordinates and regularity of groupoid heat kernels
Bing Kwan So
We prove that on an asymptotically Euclidean boundary groupoid, the heat kernel of the Laplacian is a smooth groupoid pseudo-differential operator.
On the full calculus of pseudo-differential operators on boundary groupoids with polynomial growth
Bing Kwan So
In this paper, we enlarge the space of uniformly supported pseudo-differential operators on some groupoids by considering kernels satisfying certain asymptotic estimates. We show t…
Pseudo-differential operators, heat calculus and index theory of groupoids satisfying the Lauter-Nistor condition
Bing Kwan So
In this thesis, we study singular pseudo-differential operators defined by groupoids satisfying the Lauter-Nistor condition, by a method parallel to that of manifolds with boundary…