1 citations · 2 across the 8 of their papers we have counts for
12 papers
Local index theory and -theory
Man-Ho Ho
For any given submersion with closed, oriented and spin fibers of even dimension, equipped with a Riemannian and differential spin structure, we apply the Atiyah…
Local index theory and the Riemann-Roch-Grothendieck theorem for complex flat vector bundles II
Man-Ho Ho
In this paper, we prove the real part of the Riemann-Roch-Grothendieck theorem for complex flat vector bundles at the differential form level.
An extended variational formula for the Bismut-Cheeger eta form and its applications
Man-Ho Ho
The purpose of this paper is to extend our previous work on the variational formula for the Bismut-Cheeger eta form without the kernel bundle assumption by allowing the spin Di…
Local index theory and the Riemann-Roch-Grothendieck theorem for complex flat vector bundles
Man-Ho Ho
The purpose of this paper is to give a proof of the real part of the Riemann-Roch-Grothendieck theorem for complex flat vector bundles at the differential form level in the even di…
Gauss-Bonnet-Chern theorem and differential characters
Man-Ho Ho
In this paper we first prove that every differential character can be represented by differential form with singularities. Then we lift the Gauss-Bonnet-Chern theorem for vector bu…
On an index theorem by Bismut
Man-Ho Ho
In this paper we give a proof of an index theorem by Bismut. As a consequence we obtain another proof of the Grothendieck-Riemann-Roch theorem in differential cohomology.