14 citations · 70 across the 24 of their papers we have counts for
7 papers · 1 filter
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…
Higher orbital integrals, rho numbers and index theory
Paolo Piazza, Hessel Posthuma, Yanli Song +1
Let be a connected, linear real reductive group. We give sufficient conditions ensuring the well-definedness of the delocalized eta invariant associated to a Dirac…
An index theorem for higher orbital integrals
Peter Hochs, Yanli Song, Xiang Tang
Recently, two of the authors of this paper constructed cyclic cocycles on Harish-Chandra's Schwartz algebra of linear reductive Lie groups that detect all information in the -th…
A geometric formula for multiplicities of -types of tempered representations
Peter Hochs, Yanli Song, Shilin Yu
Let be a connected, linear, real reductive Lie group with compact centre. Let be compact. Under a condition on , which holds in particular if is maximal compact, w…
Equivariant indices of Spin-Dirac operators for proper moment maps
Peter Hochs, Yanli Song
We define an equivariant index of Spin-Dirac operators on possibly noncompact manifolds, acted on by compact, connected Lie groups. The main result in this paper is that the in…
An equivariant index for proper actions III: the invariant and discrete series indices
Peter Hochs, Yanli Song
We study two special cases of the equivariant index defined in part I of this series. We apply this index to deformations of Spin-Dirac operators, invariant under actions by po…
Formal Verlinde Module
Yanli Song
Let G be a compact, simple and simply connected Lie group and $\A$ be an equivariant Dixmier-Douady bundle over G. For any fixed level k, we can define a G-C*-algebra $C_{\A^{k+h}}…