In this paper, we give a tropical method for computing Gromov-Witten
of Fano manifolds of special type.
This method applies to those Fano manifolds which admit toric
to toric Fano varieties with singularities allowing small resolutions.
Examples include (generalized) flag manifolds of type A, and
some moduli space
of rank two bundles on a genus two curve.
Fano varieties, Gromov-Witten invariants, tropical curves
14J45 - Fano varieties