Brian C. Hall
Coherent states, Yang-Mills theory, and reduction
(78K, Latex)

ABSTRACT.  This paper explains the ideas behind a prior joint work of the author 
with Bruce Driver on the canonical quantization of Yang-Mills theory 
on a spacetime cylinder. It explains how the generalized Segal-Bargmann 
transform for a compact Lie group (or generalized coherent states) 
arises from the ordinary Segal-Bargmann transform for the space of 
connections, after gauge symmetry is imposed.