An introduction to Frobenius manifolds, moduli spaces of stable maps and quantum cohomology

Michèle Audin (1)

1 IRMA - Institut de Recherche Mathématique Avancée

This text is a detailed introduction to Frobenius manifolds (via the example of unfoldings) and their spectral covers. The example of Frobenius structure on the cohomology of a projective variety given by quantum cohomology is investigated in detail, quantum cohomology and Gromov-Witten invaraints being presented through the Kontsevich moduli spaces of stable maps.

Mots clés: Frobenius manifols; unfoldings; "Frobenius manifols; Gromov-Witten invariants; integrable systems; quantum cohomology; moduli spaces; spaces of stable maps; symplectic geometry; unfoldings"

Domaines: Géométrie algébrique [math.AG]

Michèle Audin. An introduction to Frobenius manifolds, moduli spaces of stable maps and quantum cohomology. 1997. ⟨hal-00129568⟩