Yanli Song

activity

20122023

^{c}

-Dirac operators for proper moment maps

14 citations · 70 across the 24 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.SG2018★ 2 cited

Norm-square localization and the quantization of Hamiltonian loop group spaces

Yiannis Loizides, Yanli Song

In an earlier article we introduced a new definition for the `quantization' of a Hamiltonian loop group space $M$ , involving the equivariant $L^{2}$ -index of a Dirac-type o…

math.DG2018

A geometric formula for multiplicities of $K$ -types of tempered representations

Peter Hochs, Yanli Song, Shilin Yu

Let $G$ be a connected, linear, real reductive Lie group with compact centre. Let $K < G$ be compact. Under a condition on $K$ , which holds in particular if $K$ is maximal compact, w…

math.KT2018★ 1 cited

Quantization of Hamiltonian loop group spaces

Yiannis Loizides, Yanli Song

We prove a Fredholm property for spin-c Dirac operators $D$ on non-compact manifolds satisfying a certain condition with respect to the action of a semi-direct product gro…

Norm-square localization and the quantization of Hamiltonian loop group spaces

A geometric formula for multiplicities of K-types of tempered representations

Quantization of Hamiltonian loop group spaces

A geometric formula for multiplicities of $K$ -types of tempered representations