ON FROBENIUS MANIFOLDS FROM GROMOV–WITTEN THEORY OF ORBIFOLD PROJECTIVE LINES WITH $r$ ORBIFOLD POINTS

Abstract

We prove that the Frobenius structure constructed from the Gromov–Witten theory for an orbifold projective line with at most $r$ orbifold points is uniquely determined by the WDVV equations with certain natural initial conditions.