Open orbifold Gromov-Witten invariants of \({[\mathbb{C}^3/\mathbb{Z}_n]}\): Localization and mirror symmetry

DOI10.1007/s00029-011-0060-4zbMath1236.14046arXiv1007.0934OpenAlexW3123021069MaRDI QIDQ657840

Renzo Cavalieri, Andrea Brini

Publication date: 10 January 2012

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.0934

zbMATH Keywords

mirror symmetryLagrangian submanifoldEynard-Orantin recursionB-modelopen Gromov-Witten invariantsCalabi-Yau orbifoldGivental's J-function

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Lagrangian submanifolds; Maslov index (53D12) Mirror symmetry (algebro-geometric aspects) (14J33)

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Cites Work

• Remodeling the B-model
• Quantum Riemann-Roch, Lefschetz and Serre
• Topological open strings on orbifolds
• Topological open string amplitudes on local toric del Pezzo surfaces via remodeling the B-model
• Invariants of algebraic curves and topological expansion
• Topological strings and (almost) modular forms
• Computing genus-zero twisted Gromov-Witten invariants
• D-branes and normal functions
• Exact results for topological strings on resolved \(Y^{p,q}\) singularities
• Quantum field theory and the Jones polynomial
• Introduction to Toric Varieties. (AM-131)
• Gerby localization, ℤ₃-Hodge integrals and the GW theory of [ℂ³/ℤ₃]
• Extending the Picard-Fuchs system of local mirror symmetry
• Disk Instantons, Mirror Symmetry and the Duality Web
• On the gauge theory/geometry correspondence
• Knot invariants and topological strings.
• On the crepant resolution conjecture in the local case
• Branes and the dynamics of QCD
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