Three constructions of Frobenius manifolds: A comparative study

DOI10.4310/AJM.1999.v3.n1.a8zbMath0992.53064MaRDI QIDQ1585472

Yuri I. Manin

Publication date: 15 November 2000

Published in: The Asian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

mirror conjecturequantum cohomologyGromov-Witten invariantsKünneth formulaFrobenius manifoldsminiversal deformationsGerstenhaber-Batalin-Vilkovyski algebrasSaito theory

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Other operations on complex singularities (32S70)

Related Items (12)

Spin Gromov-Witten invariants ⋮ Mirror symmetry of abelian varieties and multi-theta functions ⋮ The Witten equation, mirror symmetry, and quantum singularity theory ⋮ Closed/open string diagrammatics ⋮ Primitive forms for Gepner singularities ⋮ Poisson geometry of the statistical Frobenius manifold ⋮ F‐Manifolds and geometry of information ⋮ Tautological relations in Hodge field theory ⋮ The BV-algebra structure on the Hochschild cohomology of local algebras of quaternion type in characteristic 2 ⋮ The Koszul-Tate type resolution for Gerstenhaber-Batalin-Vilkovisky algebras ⋮ A construction of Frobenius manifolds with logarithmic poles and applications ⋮ Frobenius\(_\infty\) invariants of homotopy Gerstenhaber algebras. I

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