On the Sato-Segal-Wilson Grassmannian and the infinite Grassmannian of type I_+,-

Abstract

In this thesis, we present the Sato-Segal-Wilson Grassmannian and its dual, the infinite Grassmannian of type I₊,₋. We provide detailed proofs that they are infinite dimensional complex manifolds and Hermitian symmetric spaces. By doing so, we tie up some loose ends in the existing literature. We also classify the orbits of the action of the group U_+,-^res(H) on the Sato-Segal-Wilson Grassmannian.

Date of Award	2015
Original language	English
Awarding Institution	The Hong Kong University of Science and Technology