9 citations · 30 across the 21 of their papers we have counts for
4 papers · 1 filter
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 , involving the equivariant -index of a Dirac-type o…
Geometric K-homology and the Freed-Hopkins-Teleman theorem
Yiannis Loizides
We describe a map from the equivariant twisted K-homology of a compact, connected, simply connected Lie group to the Verlinde ring. Our map is described at the level of `D-cycl…
Quantization of Hamiltonian loop group spaces
Yiannis Loizides, Yanli Song
We prove a Fredholm property for spin-c Dirac operators on non-compact manifolds satisfying a certain condition with respect to the action of a semi-direct product gro…
The decomposition formula for Verlinde Sums
Yiannis Loizides, Eckhard Meinrenken
We prove a decomposition formula for Verlinde sums (rational trigonometric sums), as a discrete counterpart to the Boysal-Vergne decomposition formula for Bernoulli series. Motivat…