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hal-00129568, version 1

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

Michèle Audin 1

(1997-05-09)

Abstract: 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.

  • 1:  Institut de Recherche Mathématique Avancée (IRMA)
  • CNRS : UMR7501 – Université Louis Pasteur - Strasbourg I
  • Domain : Mathematics/Algebraic Geometry
  • Keywords : "Frobenius manifols – Gromov-Witten invariants – integrable systems – quantum cohomology – moduli spaces – spaces of stable maps – symplectic geometry – unfoldings"
 
  • hal-00129568, version 1
  • oai:hal.archives-ouvertes.fr:hal-00129568
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  • Submitted on: Thursday, 8 February 2007 11:23:22
  • Updated on: Thursday, 8 February 2007 14:40:59