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Geometry and analytic theory of Frobenius manifolds

Boris Dubrovin
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Abstract

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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Boris Dubrovin. 1998-07-09. Geometry and analytic theory of Frobenius manifolds. https://arxiv.org/abs/math/9807034

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