Verlinde formulas for nonsimply connected groups

非simply connected群的Verlinde型公式

Formulas of Verlinde type for non-simply connected groups

我们推导Verlinde的公式从不动点公式证明了在同伴文件“A fixed point formula for loop群作用“，并将其扩展到紧凑，连接的群体，不一定是单连通的。

具有相同Seiberg-Witten不变量的非纯辛4-流形

Nondiffeomorphic symplectic 4-manifolds with the same Seiberg-Witten invariants

本文的目的是证明，至少对于非单连通的4-流形，Seiberg-Witten不变量本身并不决定同一同胚类型内的同胚类型。

Geometric K-homology and the Freed-Hopkins-Teleman theorem

We describe a map from the equivariant twisted K-homology of a compact, connected, simply connected Lie group $G$ to the Verlinde ring. Our map is described at the level of `D-cycles' for the geometric twisted K-homology of $G$, and is inverse to the Freed-Hopkins-Teleman isomorphism. As an application, we show that two possible definitions of the `quantization' of a Hamiltonian loop group space are compatible with each other.