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Geometry and analytic theory of Frobenius manifolds

TitleGeometry and analytic theory of Frobenius manifolds
Publication TypeBook Chapter
Year of Publication1998
AuthorsDubrovin, B
Book TitleProceedings of the International Congress of Mathematicians : Berlin 1998, August 18 - 27. II, Invited lectures. - Bielefeld : Universität Bielefeld, Fakultät für Mathematik cop. 1998. - pages : 315-326
Series VolumeDocumenta mathematica;Extra vol.

Main mathematical applications of Frobenius manifolds are\\r\\nin the theory of Gromov - Witten invariants, in singularity theory, in\\r\\ndifferential geometry of the orbit spaces of reflection groups and of their\\r\\nextensions, in the hamiltonian theory of integrable hierarchies. The theory\\r\\nof Frobenius manifolds establishes remarkable relationships between\\r\\nthese, sometimes rather distant, mathematical theories.


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