Invariance of quantum rings under ordinary flops II: A quantum Leray–Hirsch theorem

DOI10.14231/AG-2016-027zbMath1373.14055arXiv1311.5725OpenAlexW2963870221MaRDI QIDQ5275118

Chin-Lung Wang, Hui-Wen Lin, Yuan-Pin Lee

Publication date: 10 July 2017

Published in: Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.5725

zbMATH Keywords

Birkhoff factorizationDubrovin connectionsgeneralized mirror transformlifting of QDEPicard-Fuchs idealquantum Leray-Hirschsplit ordinary flops

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Minimal model program (Mori theory, extremal rays) (14E30)

Related Items (9)

Quantum Cohomology under Birational Maps and Transitions ⋮ Variations on the theme of quantum Lefschetz ⋮ Type II extremal transitions in Gromov-Witten theory ⋮ On Gromov-Witten theory of projective bundles ⋮ Floer cohomology, singularities, and birational geometry ⋮ Convergence and analytic decomposition of quantum cohomology of toric bundles ⋮ Borel \((\boldsymbol{\alpha},\boldsymbol{\beta})\)-multitransforms and quantum Leray-Hirsch: integral representations of solutions of quantum differential equations for \(\mathbb{P}^1\)-bundles ⋮ Ruan's conjecture on singular symplectic flops of mixed type ⋮ The crepant transformation conjecture for toric complete intersections

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