71 citations · 306 across the 73 of their papers we have counts for
4 papers · 2 filters
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…