Open Gromov-Witten invariants on elliptic \(K3\) surfaces and wall-crossing

DOI10.1007/s00220-016-2754-0zbMath1359.14050arXiv1412.4455OpenAlexW2126250116MaRDI QIDQ507271

Yu-Shen Lin

Publication date: 3 February 2017

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.4455

zbMATH Keywords

elliptic \(K3\) surfaceswall-crossingopen Gromov-Witten invariantsgeneralized Donaldson-Thomas invariantshyper-Kähler rotationtropical disk counting

Mathematics Subject Classification ID

Related Items (5)

Reduced open Gromov-Witten invariants on K3 surfaces and multiple cover formula ⋮ Enumeration of holomorphic cylinders in log Calabi-Yau surfaces. I ⋮ Log BPS numbers of log Calabi-Yau surfaces ⋮ Sheaves of maximal intersection and multiplicities of stable log maps ⋮ On the tropical discs counting on elliptic K3 surfaces with general singular fibres

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• SYZ mirror symmetry for toric Calabi-Yau manifolds
• Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants
• From real affine geometry to complex geometry
• Enumerative geometry of stable maps with Lagrangian boundary conditions and multiple covers of the disc
• Counting pseudo-holomorphic discs in Calabi-Yau 3-holds
• Toric degenerations of toric varieties and tropical curves
• The tropical vertex
• Rigidity and uniruling for Lagrangian submanifolds
• Pseudo holomorphic curves in symplectic manifolds
• Hyperkähler metrics and supersymmetry
• Stringy cosmic strings and noncompact Calabi-Yau manifolds
• Arnold conjecture and Gromov-Witten invariant
• Large complex structure limits of \(K3\) surfaces
• Reduced open Gromov-Witten invariants on K3 surfaces and multiple cover formula
• Special Lagrangian submanifolds with isolated conical singularities. V: Survey and applications.
• Kähler-Einstein metrics on Kummer threefold and special Lagrangian tori
• Family Gromov-Witten invariants for Kähler surfaces
• Hodge decomposition. A method for solving boundary value problems
• Mirror symmetry is \(T\)-duality
• Wall-crossing, Hitchin systems, and the WKB approximation
• Cyclic symmetry and adic convergence in Lagrangian Floer theory
• Split states, entropy enigmas, holes and halos
• Automatic transversality and orbifolds of punctured holomorphic curves in dimension four
• The Ooguri-Vafa metric, holomorphic discs and wall-crossing
• Complex Monge-Ampère equations and totally real submanifolds
• Disk counting on toric varieties via tropical curves
• Disk enumeration on the quintic 3-fold
• Moduli of representations of quivers
• The Strominger-Yau-Zaslow conjecture: From torus fibrations to degenerations
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• Gromov's Compactness Theorem for Pseudo Holomorphic Curves
• Summing up Dirichlet Instantons
• Enumerative tropical algebraic geometry in ℝ²
• Deformations of minimal Lagrangian submanifolds with boundary
• Wall-Crossing Structures in Donaldson–Thomas Invariants, Integrable Systems and Mirror Symmetry
• Mirror symmetry and T-duality in the complement of an anticanonical divisor
• Four-dimensional wall-crossing via three-dimensional field theory

This page was built for publication: Open Gromov-Witten invariants on elliptic \(K3\) surfaces and wall-crossing