By
intersection Floer homology one usually means a certain algebraic object associated to a pair of Lagrangian
submanifolds which is built from
their intersection points and pseudo-holomorphic strips whose two
boundary components lie on the
two Lagrangian submanifolds. (This Floer homology is different from the Floer homology
associated to Hamiltonian flows!). We will discuss various versions of the
intersection Floer homology for
Lagrangian torus fibers in Fano toric manifolds, as presented in a recent preprint by C.-H.Cho & Y.-G.Oh.