The small quantum cohomology of a weighted projective space, a mirror \(D\)-module and their classical limits

DOI10.1007/s10711-012-9768-3zbMath1273.14112arXiv0909.4063OpenAlexW2059191848MaRDI QIDQ1953079

Etienne Mann, Antoine Douai

Publication date: 7 June 2013

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.4063

zbMATH Keywords

mirror symmetryquantum cohomologyFrobenius manifoldsweighted projective spacesBrieskorn lattices

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40) Mirror symmetry (algebro-geometric aspects) (14J33)

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