71 citations · 306 across the 73 of their papers we have counts for
6 papers · 1 filter
A local equivariant index theorem for sub-signature operators
Kaihua Bao, Jian Wang, Yong Wang
In this paper, we prove a local equivariant index theorem for sub-signature operators which generalizes the Zhang's index theorem for sub-signature operators.
The Greiner's approach to heat kernel asymptotics and the variation formulas for the equivariant Ray-Singer metric
Yong Wang
In this paper, using the Greiner's approach to heat kernel asymptotics, we give new proofs of the equivariant Gauss-Bonnet-Chern formula and the variation formulas for the equivari…
The Noncommutative Infinitesimal Equivariant Index Formula
Yong Wang
In this paper, we establish an infinitesimal equivariant index formula in the noncommutative geometry framework using Greiner's approach to heat kernel asymptotics. An infinitesima…
Volterra calculus, local equivariant family index theorem and equivariant eta forms
Yong Wang
In this paper, we give proofs of the family index formula and the equivariant family index formula by the Greiner's approach to heat kernel asymptotics. We compute equivariant fami…
Dirac Operators with Torsion and the Noncommutative Residue for Manifolds with Boundary
Jian Wang, Yong Wang, ChunLing Yang
In this paper, we get the Kastler-Kalau-Walze theorem associated to Dirac operators with torsion on compact manifolds with boundary. We give two kinds of operator-theoretic explana…
Noncommutative Residue and Dirac operators for Manifolds with the Conformal Robertson-Walker metric
Jian Wang, Yong Wang
In this paper, we prove a Kastler-Kalau-Walze type theorem for 4-dimensional and 6-dimensional spin manifolds with boundary associated with the conformal Robertson-Walker metric. A…