Frobenius Manifolds: Quantum Cohomology and Singularities (Aspects of Mathematics)

Quantum cohomology, the theory of Frobenius manifolds and the relations to integrable systems are flourishing areas since the early 90's. An activity was organized at the Max-Planck-Institute for Mathematics in Bonn, with the purpose of bringing together the main experts in these areas. This volume originates from this activity and presents the state of the art in the subject. Prof. Dr. Claus Hertling, Institut fr Mathematik, Universitt Mannheim, Germany Prof. Dr. Matilde Marcolli, Max-Planck-Institute for Mathematics, Bonn, Germany 15 contributions from an activity at the MPI fr Mathematik: Complex manifolds with a multiplication and a metric on the tangent bundle. This notion was motivated by physics results. Another source of Frobenius manifolds is singularity theory. Quantum cohomology, the theory of Frobenius manifolds and the relations to integrable systems are flourishing areas.