83 citations · 297 across the 63 of their papers we have counts for
64 papers
Delocalized eta invariants of the signature operator on G-proper manifolds
Paolo Piazza, Hessel Posthuma, Yanli Song +1
Let be a connected, linear real reductive group and let be a cocompact -proper manifold without boundary. We define delocalized eta invariants associated to a -inve…
Symplectic Morse Theory and Witten Deformation
David Clausen, Xiang Tang, Li-Sheng Tseng
On symplectic manifolds, we introduce a Morse-type complex with elements generated by pairs of critical points of a Morse function. The differential of the complex consists of grad…
Trace Formula of Semicommutators
Xiang Tang, Yi Wang, Dechao Zheng
For weighted Bergman spaces on the unit disk, we give trace formulas of semicommutators of Toeplitz operators with symbols. We generalize thi…
Helton-Howe Trace, Connes-Chern character and Quantization
Xiang Tang, Yi Wang, Dechao Zheng
We study the Helton-Howe trace and the Connes-Chern character for Toeplitz operators on weighted Bergman spaces via the idea of quantization. We prove a local formula for the large…
Primary and secondary invariants of Dirac operators on -proper manifolds
Paolo Piazza, Xiang Tang
In this article, we survey the recent constructions of cyclic cocycles on the Harish-Chandra Schwartz algebra of a connected real reductive Lie group and their applications to…
Cartan Motion Group and Orbital Integrals
Yanli Song, Xiang Tang
In this short note, we study the variation of orbital integrals, as traces on the group algebra , under the deformation groupoid. We show that orbital integrals are continuous u…