  The result contained in this paper is an application of a fixed point formula
associated with Hamiltonian loop group action. We obtain a G-space which is a
geometric dual of the Verlinde's fusion product. Also we obtain a proof of
Verlinde formula. The calculation of weights at the fixed point set is based on
fundamental properties of root systems of affine Lie algebras.
  This paper was written in early 1997, the current version has a computer
time-stamp 4/4/97.
