Partial coherent state transforms, $G\times T$-invariant Kähler structures and geometric quantization of cotangent bundles of compact Lie groups

José M. Mourão, João P. Nunes, Miguel B. Pereira

In this paper, we study the analytic continuation to complex time of the Hamiltonian flow of certain $G\times T$-invariant functions on the cotangent bundle of a compact connected…