  We show that for singular hypersurfaces, a version of their genus-zero
Gromov-Witten theory may be described in terms of a direct limit of fixed point
Floer cohomology groups, a construction which is more amenable to computation
and easier to define than the technical foundations of the enumerative geometry
of more general singular symplectic spaces. As an illustration, we give a
direct proof of closed-string mirror symmetry for nodal curves of genus greater
than or equal to 2, using calculations of (co)product structures on fixed point
Floer homology of Dehn twists due to Yao-Zhao.

Symplectic Geometry;Algebraic Geometry