The quantum Lefschetz hyperplane principle can fail for positive orbifold hypersurfaces

DOI10.4310/MRL.2012.v19.n5.a3zbMath1287.14027arXiv1202.2754OpenAlexW1973554509MaRDI QIDQ2391640

Yanyan Li

Publication date: 5 August 2013

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.2754

zbMATH Keywords

complete intersectionsorbifoldsquantum cohomologyhypersurfacesGromov-Witten invariantsquantum Lefschetz hyperplane theorem

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Stacks and moduli problems (14D23)

Related Items (11)

Hyperelliptic integrals and mirrors of the Johnson–Kollár del Pezzo surfaces ⋮ Quantum Serre duality for quasimaps ⋮ On the quantum periods of del Pezzo surfaces with \(\frac{1}{3}(1, 1)\) singularities ⋮ Orbifold quasimap theory ⋮ A categorification of the quantum Lefschetz principle ⋮ Relative Gromov–Witten invariants and the enumerative meaning of mirror maps for toric Calabi–Yau orbifolds ⋮ Virtual classes for the working mathematician ⋮ Landau-Ginzburg/Calabi-Yau correspondence, global mirror symmetry and Orlov equivalence ⋮ Integral transforms and quantum correspondences ⋮ Mirror theorems for root stacks and relative pairs ⋮ Narrow quantum \(D\)-modules and quantum Serre duality

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