Borel \((\boldsymbol{\alpha},\boldsymbol{\beta})\)-multitransforms and quantum Leray-Hirsch: integral representations of solutions of quantum differential equations for \(\mathbb{P}^1\)-bundles
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Publication:6202715
DOI10.1016/j.matpur.2024.01.003arXiv2210.05445OpenAlexW4391345138MaRDI QIDQ6202715
Publication date: 27 February 2024
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.05445
Integral transforms of special functions (44A20) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20) Multiple integral transforms (44A30)
Cites Work
- Gamma classes and quantum cohomology of Fano manifolds: gamma conjectures
- Invariance of quantum rings under ordinary flops. III: A quantum splitting principle
- A classification theorem on Fano bundles
- Evaluation of classes of definite integrals involving elementary functions via differentiation of special functions
- Rank-2 Fano bundles over a smooth quadric \(Q_ 3\)
- Quantum Riemann-Roch, Lefschetz and Serre
- Fano bundles over \(P^ 3\) and \(Q_ 3\)
- Flops, motives, and invariance of quantum rings
- Geometry and analytic theory of Frobenius manifolds
- Noetherian rings of generalized power series
- An algorithm for computing a companion block diagonal form for a system of linear differential equations
- Fano bundles and splitting theorems on projective spaces and quadrics
- Rings of generalized power series. II: Units and zero-divisors
- The intrinsic normal cone
- Gromov-Witten classes, quantum cohomology, and enumerative geometry
- Rank two Fano bundles on \({\mathbb G}(1,4)\)
- Stokes matrices and monodromy of the quantum cohomology of projective spaces
- Degenerate Riemann-Hilbert-Birkhoff problems, semisimplicity, and convergence of WDVV-potentials
- Local moduli of semisimple Frobenius coalescent structures
- A topological view of Gromov-Witten theory
- The special functions and their approximations. Vol. I, II
- Equations différentielles à points singuliers réguliers
- 3264 and All That
- Uniform vector bundles on Fano manifolds and applications
- Gromov–Witten Invariants of Toric Fibrations
- On Fano manifolds, which are PK-bundles over P2
- Quantum cohomology of projective bundles over ℙⁿ
- QUANTUM COHOMOLOGY OF PROJECTIVE BUNDLES OVER ℙn1×⋯×ℙns
- Quantum Cohomology under Birational Maps and Transitions
- Chern classes and Gromov-Witten theory of projective bundles
- Quantum Differential Equations and Helices
- Quantum reconstruction for Fano bundles on projective space
- Invariance of quantum rings under ordinary flops I: Quantum corrections and reduction to local models
- Invariance of quantum rings under ordinary flops II: A quantum Leray–Hirsch theorem
- Cyclic Stratum of Frobenius Manifolds, Borel–Laplace (α, β)-Multitransforms, and Integral Representations of Solutions of Quantum Differential Equations
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