On the quantum cohomology of blow-ups of four-dimensional quadrics

DOI10.1007/s10114-024-2236-9OpenAlexW4390599574MaRDI QIDQ6139290

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Publication date: 18 January 2024

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-024-2236-9

zbMATH Keywords

blow-upquantum cohomologyquadric hypersurface

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Fano varieties (14J45) Mirror symmetry (algebro-geometric aspects) (14J33)

Cites Work

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• Gamma classes and quantum cohomology of Fano manifolds: gamma conjectures
• Gromov-Witten invariants of blow-ups along submanifolds with convex normal bundles
• Gromov-Witten invariants of blow-ups along points and curves
• Quantum cohomology rings of Grassmannians and total positivity
• Gamma conjecture I for del Pezzo surfaces
• Gamma conjecture via mirror symmetry
• Birational cobordism invariance of uniruled symplectic manifolds
• Equivariant quantum Schubert calculus
• A topological view of Gromov-Witten theory
• On Fano manifolds, which are P^K-bundles over P²
• Galkin’s lower bound conjecture holds for the Grassmannian
• On Frobenius-Perron dimension
• Galkin's Lower bound Conjecure for Lagrangian and orthogonal Grassmannians

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