71 citations · 306 across the 73 of their papers we have counts for
6 papers · 1 filter
The noncommutative family Atiyah-Patodi-Singer index theorem
Yong Wang
In this paper, we define the eta cochain form and prove its regularity when the kernel of a family of Dirac operators is a vector bundle. We decompose the eta form as a pairing of…
The noncommutative infinitesimal equivariant index formula: part II
Yong Wang
In this paper, we prove that infinitesimal equivariant Chern-Connes characters are well-defined. We decompose an equivariant index as a pairing of infinitesimal equivariant Chern-C…
Multiply Warped Products with a Quarter-symmetric Connection
Quan Qu, Yong Wang
In this paper, we study the Einstein warped products and multiply warped products with a quarter-symmetric connection. We also study warped products and multiply warped products wi…
The first terms in the expansion of the Bergman kernel in higher degrees: mixed curvature case
Yong Wang, Aihui Sun
We establish the cancellation of the first |2j-q| terms in the diagonal asymptotic expansion of the restriction to the (0, 2j)-forms of the Bergman kernel associated to the modifie…
A Kastler-Kalau-Walze Type Theorem for 5-dimensional Manifolds with Boundary
Jian Wang, Yong Wang
The Kastler-Kalau-Walze theorem, announced by Alain Connes, shows that the Wodzicki residue of the inverse square of the Dirac operator is proportional to the Einstein-Hilbert acti…
Twisted Dirac Operators and the Noncommutative Residue for Manifolds with Boundary
Jian Wang, Yong Wang
In this paper, we give two Lichnerowicz type formulas for Dirac operators and signature operators twisted by a vector bundle with a non-unitary connection. We also prove two Kastle…