With D. Ben-Zvi. ``Solitons and many-body systems: KP and Calogero-Moser,'' in preparation.
We develop a geometric mechanism that
produces the correspondence between
meromorphic KP solutions
and the
Calogero-Moser integrable system discovered by Airault-McKean-Moser,
Krichever, and the Chudnovskys.
This mechanism, which proceeds from an
interpretation of meromorphic KP solutions as "framed D-bundles,"
extends the
known correspondence to the collisions in all cases (thereby extending
results of
G. Wilson, Invent. Math. 1998), as well as
proving correspondences between
multicomponent KP and spin Calogero-Moser
systems.