ON THE QUANTUM COHOMOLOGY OF SOME FANO THREEFOLDS AND A CONJECTURE OF DUBROVIN
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Publication:5703742
DOI10.1142/S0129167X05003144zbMath1081.14075arXivmath/0403300OpenAlexW2058559695WikidataQ122937622 ScholiaQ122937622MaRDI QIDQ5703742
Publication date: 8 November 2005
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0403300
Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) (3)-folds (14J30) Fano varieties (14J45)
Related Items (9)
Reconstruction theorems for Gromov-Witten invariants ⋮ An analogue of Dubrovin's conjecture ⋮ Deformed Hamiltonian Floer theory, capacity estimates and Calabi quasimorphisms ⋮ The structure of 2D semi-simple field theories ⋮ Quantum cohomology of moduli spaces of genus zero stable curves ⋮ Computing genus zero Gromov-Witten invariants of Fano varieties ⋮ On semisimplicity of quantum cohomology of \(\mathbb{P}^1\)-orbifolds ⋮ Degenerate Riemann-Hilbert-Birkhoff problems, semisimplicity, and convergence of WDVV-potentials ⋮ An update on semisimple quantum cohomology and \(F\)-manifolds
Cites Work
- The classification of Fano 3-folds with torus embeddings
- The quantum cohomology of blow-ups of \(\mathbb{P}^2\) and enumerative geometry
- Classification of Fano 3-folds with \(B_ 2 \geq 2\)
- Gromov-Witten invariants in algebraic geometry
- The intrinsic normal cone
- Gromov-Witten invariants of blow-ups along points and curves
- Gromov-Witten classes, quantum cohomology, and enumerative geometry
- Quantum cohomology of projective bundles over ℙⁿ
- Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties
- The Gromov-Witten invariants of symplectic toric manifolds, and their quantum cohomology ring
- A mathematical theory of quantum cohomology
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