Abstract

Here we describe the Frobenius Manifold as a geometric reformulation of the solution space to the WDVV equations. Relations between Frobenius Algebras, Frobenius Manifolds and 2D-Topological Field Theories are shown, and we examine the A n case from the class of polynomial solutions to WDVV as Topological Landau-Ginzburg Models. The A n case is also described from the point of view of singularity theory from which it originated, and we show Dubrovin's constructions for Frobenius manifolds on the orbit spaces of Coxeter groups and Hurwitz spaces with the A n case as the main example.