71 citations · 306 across the 73 of their papers we have counts for
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Chern-Connes Character for the Invariant Dirac Operator in Odd Dimensions
Yong Wang
In this paper we give a proof of the Lefschetz fixed point formula of Freed for an orientation-reversing involution on an odd dimensional spin manifold by using the dir…
Differential Forms and the Wodzicki Residue for Manifolds with Boundary
Yong Wang
In [3], Connes found a conformal invariant using Wodzicki's 1-density and computed it in the case of 4-dimensional manifold without boundary. In [14], Ugalde generalized the Connes…
The Equivariant Noncommutative Atiyah-Patodi-Singer Index Theorem
Yong Wang
In [Wu], the noncommutative Atiyah-Patodi-Singer index theorem was proved. In this paper, we extend this theorem to the equivariant case.
Differential Forms and the Noncommutative Residue for Manifolds with Boundary in the Non-product Case
Yong Wang
In this paper, for an even dimensional compact manifold with boundary which has the non-product metric near the boundary, we use the noncommutative residue to define a conformal in…
Adiabatic Limits, Vanishing Theorems and the Noncommutative Residue
Kefeng Liu, Yong Wang
In this paper, we compute the adiabatic limit of the scalar curvature and prove several vanishing theorems, we also derive a Kastler-Kalau-Walze type theorem for the noncommutative…
Gravity and the Noncommutative Residue for Manifolds with Boundary
Yong Wang
We prove a Kastler-Kalau-Walze type theorem for the Dirac operator and the signature operator for -dimensional manifolds with boundary. As a corollary, we give two kinds of op…