Localization and Gluing of Topological Amplitudes

Abstract

We develop a gluing algorithm for Gromov-Witten invariants of toric Calabi-Yau threefolds based on localization and gluing graphs. The main building block of this algorithm is a generating function of cubic Hodge integrals of special form. We conjecture a precise relation between this generating function and the topological vertex at fractional framing.

arXiv comment35 pages, 6 figures

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Cited by in corpus (23)

• Topological Strings and Integrable Hierarchies
• Chern-Simons Theory and Topological Strings
• Matrix Models, Geometric Engineering and Elliptic Genera
• Quantum Calabi-Yau and Classical Crystals
• Topological Open String Amplitudes On Orientifolds
• A Mathematical Theory of the Topological Vertex
• Crepant resolutions and open strings
• Open topological strings and integrable hierarchies: Remodeling the A-model
• A short overview of the "Topological recursion"
• Large N duality, lagrangian cycles, and algebraic knots
• On the Remodeling Conjecture for Toric Calabi-Yau 3-Orbifolds
• All Genus Open-Closed Mirror Symmetry for Affine Toric Calabi-Yau 3-Orbifolds
• The Real Topological String on a local Calabi-Yau
• Invariants of spectral curves and intersection theory of moduli spaces of complex curves
• Geometrical interpretation of the topological recursion, and integrable string theories
• A Vertex Formalism for Local Ruled Surfaces
• Toric Geometry and String Theory
• The SYZ mirror symmetry and the BKMP remodeling conjecture
• Localization and Gluing of Orbifold Amplitudes: The Gromov-Witten Orbifold Vertex
• The closed topological vertex via the Cremona transform
• Gromov-Witten invariants of toric Calabi-Yau threefolds
• A Formula of Two-Partition Hodge Integrals
• The open string McKay correspondence for type A singularities