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Abstract des Vortrages von Elisabeth Werner

Frobenius structures for cusp polynomials with group actions

I will report on joint work with Alexey Basalaev and Atsushi Takahashi on orbifold Frobenius Algebras. The Jacobian ring of a cusp polynomial f has a Frobenius structure and there is a isomorphism of the associated Frobenius manifold to the one constructed from the Gromov-Witten-Theory for an orbifold projective line with at most three orbifold points. For a finite group G of symmetries of f we construct an orbifold Jacobian ring and want to associate a Frobenius manifold which should be isomorphic to the one from a projective line with more orbifold points.