Title: REAL AND KAEHLER QUANTIZATION OF FLAG MANIFOLDS |

One ingredient in geometric quantization is a polarization; given different polarizations on a manifold, we can ask how the resulting quantizations depend on the choice of polarization. Guillemin and Sternberg investigated this question for flag manifolds, which admit both real and Kahler polarizations. They showed that the two quantizations are in some sense "the same," but did not give any direct relationship between the quantizations. I will describe a deformation of the complex structure on the flag manifold leading to a "convergence of polarizations" joining the two quantizations. This is join work with Hiroshi Konno of Tokyo University. |