Geometry and analytic theory of Frobenius manifolds

Details Geometry and analytic theory of Frobenius manifolds Geometry and analytic theory of Frobenius manifolds

1998-07-08

arxiv.org/abs/math/9807034v2

Mathematics

Algebraic Geometry

11 pages, to appear in Proceedings ICM98

Scientific paper

Main mathematical applications of Frobenius manifolds are in the theory of Gromov - Witten invariants, in singularity theory, in differential geometry of the orbit spaces of reflection groups and of their extensions, in the hamiltonian theory of integrable hierarchies. The theory of Frobenius manifolds establishes remarkable relationships between these, sometimes rather distant, mathematical theories.

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