Frobenius Manifolds
Broschiertes Buch

Frobenius Manifolds

Quantum Cohomology and Singularities

Herausgegeben: Hertling, Claus; Diederich, Klas; Marcolli, Matilde
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Frobenius manifolds are complex manifolds with a multiplication and a metric on the holomorphic tangent bundle, which satisfy several natural conditions. This notion was defined in 1991 by Dubrovin, motivated by physics results. Another source of Frobenius manifolds is singularity theory. Duality between string theories lies behind the phenomenon of mirror symmetry. One mathematical formulation can be given in terms of the isomorphism of certain Frobenius manifolds. A third source of Frobenius manifolds is given by integrable systems, more precisely, bihamiltonian hierarchies of evolutionary P...