Unfoldings of Meromorphic Connections and a Construction of Frobenius Manifolds

@inproceedings{Manin2002UnfoldingsOM,
  title={Unfoldings of Meromorphic Connections and a Construction of Frobenius Manifolds},
  author={Yuri I. Manin},
  year={2002}
}
The existence of universal unfoldings of certain germs of meromorphic connections is established. This is used to prove a general construction theorem for Frobenius manifolds. A particular case is Dubrovin’s theorem on semisimple Frobenius manifolds. Another special case starts with variations of Hodge structures. This case is used to compare two constructions of Frobenius manifolds, the one in singularity theory and the Barannikov–Kontsevich construction. For homogeneous polynomials which give… CONTINUE READING

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References

Publications referenced by this paper.
Showing 1-10 of 25 references

Déformations isomonodromiques et variétés de Frobenius, une introduction

C. Sabbah
Savoirs Actuels, EDP Sciences/CNRS Éditions, • 2002

Frobenius manifolds and moduli spaces for singularities

C. Hertling
To appear in Cambridge Tracts in Mathematics, • 2002

Hertling : tt ∗ geometry , Frobenius manifolds , their connections , and the construction for singularities

C.
2002

Barannikov : Quantum periods – I . Semi - infinite variations of Hodge structures

S.
Int . Math . Res . Notices • 2001

Quantum periods – I

S. Barannikov
Semi-infinite variations of Hodge structures. Int. Math. Res. Notices • 2001

Kresch : Associativity relations in quantum cohomology

A.
Advances in Mathematics • 1999

Manin : Frobenius manifolds , quantum cohomology , and moduli spaces

Yu.
1999

Manin : Three constructions of Frobenius manifolds : a comparative study

Yu.
Asian J . Math . • 1999

Manin: Frobenius manifolds

Yu
quantum cohomology, and moduli spaces. American Math. Society, Colloquium Publ. v. 47, • 1999
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