Open-closed Gromov-Witten invariants of 3-dimensional Calabi-Yau smooth toric DM stacks

DOI10.1017/fms.2022.57zbMath1502.14140arXiv1212.6073OpenAlexW1890594224MaRDI QIDQ5094184

Chiu-Chu Melissa Liu, Hsian-Hua Tseng, Bo Han Fang

Publication date: 2 August 2022

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.6073

zbMATH Keywords

Calabi-Yau 3-foldstopological vertexopen Gromov-Witten invariantsmirror theoremLagrangian branesrelative Gromov-Witten theoryAbel-Jacobi mapscrepant transformation conjectureBKMP remodeling conjecturesmooth toric Deligne-Mumford stacks

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Mirror symmetry (algebro-geometric aspects) (14J33) Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category (53D37)

Related Items (6)

Open Gromov-Witten theory of \(K_{\mathbb {P}^2}\), \(K_{\mathbb {P}^1\times \mathbb {P}^1}\), \(K_{W\mathbb {P}[ 1,1,2}\), \(K_{\mathbb{F}_1}\) and Jacobi forms] ⋮ \(T\)-equivariant disc potential and SYZ mirror construction ⋮ Gauged linear sigma model for disc invariants ⋮ Quantum McKay correspondence for disc invariants of toric Calabi-Yau 3-orbifolds ⋮ On the remodeling conjecture for toric Calabi-Yau 3-orbifolds ⋮ Open/closed correspondence via relative/local correspondence

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Open Gromov-Witten invariants of toric Calabi-Yau 3-folds
• The gerby Gopakumar-Mariño-Vafa formula
• Open topological strings and integrable hierarchies: remodeling the A-model
• Gauged linear sigma model for disc invariants
• On the Gromov-Witten/Donaldson-Thomas correspondence and Ruan's conjecture for Calabi-Yau 3-orbifolds
• Group actions on stacks and applications
• Gromov-Witten/Donaldson-Thomas correspondence for toric 3-folds
• The orbifold topological vertex
• Open orbifold Gromov-Witten invariants of \({[\mathbb{C}^3/\mathbb{Z}_n}\): Localization and mirror symmetry]
• \(N=1\) mirror symmetry and open/closed string duality
• Enumerative geometry of stable maps with Lagrangian boundary conditions and multiple covers of the disc
• Gross fibrations, SYZ mirror symmetry, and open Gromov-Witten invariants for toric Calabi-Yau orbifolds
• The orbifold cohomology ring of simplicial toric stack bundles
• Remodeling the B-model
• An integral structure in quantum cohomology and mirror symmetry for toric orbifolds
• Toric degenerations of toric varieties and tropical curves
• Quantum Riemann-Roch, Lefschetz and Serre
• Cyclic Hodge integrals and loop Schur functions
• Topological open strings on orbifolds
• Invariants of algebraic curves and topological expansion
• A mathematical theory of the topological vertex
• Orbifold quantum Riemann-Roch, Lefschetz and Serre
• Mirror principle. I
• Topological orbifold models and quantum cohomology rings
• Mirror principle. II
• Hodge integrals and invariants of the unknot
• A new cohomology theory of orbifold
• Open Gromov-Witten theory and the crepant resolution conjecture
• Open Gromov-Witten invariants, mirror maps, and Seidel representations for toric manifolds
• Quantum cohomology and toric minimal model programs
• Crepant resolutions and open strings
• Generalized Mariño-Vafa formula and local Gromov-Witten theory of orbi-curves
• Computation of open Gromov-Witten invariants for toric Calabi-Yau 3-folds by topological recursion, a proof of the BKMP conjecture
• Enumerative meaning of mirror maps for toric Calabi-Yau manifolds
• Mirror symmetry for closed, open, and unoriented Gromov-Witten invariants
• Lagrangian Floer superpotentials and crepant resolutions for toric orbifolds
• Opening mirror symmetry on the quintic
• Mirror symmetry and supermanifolds
• Holomorphic orbi-discs and Lagrangian Floer cohomology of symplectic toric orbifolds
• The topological vertex
• Localization and gluing of topological amplitudes
• Lagrangian Floer theory on compact toric manifolds. I.
• MASSIVE ORBIFOLDS
• Localization in Gromov-Witten Theory and Orbifold Gromov-Witten Theory
• Disk enumeration on the quintic 3-fold
• Smooth toric Deligne-Mumford stacks
• Introduction to Toric Varieties. (AM-131)
• The orbifold Chow ring of toric Deligne-Mumford stacks
• Orbifold thechniques in degeneration formulas
• Using stacks to impose tangency conditions on curves
• A mirror theorem for toric stacks
• COUNTING REAL J-HOLOMORPHIC DISCS AND SPHERES IN DIMENSION FOUR AND SIX
• Gromov-Witten theory of Deligne-Mumford stacks
• A mirror theorem for toric complete intersections
• [https://portal.mardi4nfdi.de/wiki/Publication:5126730 All-genus open-closed mirror symmetry for affine toric Calabi�Yau 3-orbifolds]
• Bouchard-Klemm-Marino-Pasquetti conjecture for ℂ³
• On the remodeling conjecture for toric Calabi-Yau 3-orbifolds
• Localization and gluing of orbifold amplitudes: The Gromov-Witten orbifold vertex
• Disk Instantons, Mirror Symmetry and the Duality Web
• Mirror symmetry, mirror map and applications to complete intersection Calabi-Yau spaces
• On the crepant resolution conjecture in the local case

This page was built for publication: Open-closed Gromov-Witten invariants of 3-dimensional Calabi-Yau smooth toric DM stacks