Localization and Gluing of Topological Amplitudes

2003/09/15 by Duiliu-Emanuel Diaconescu, Bogdan Florea · 3 citations
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #hep-th #math.AG

paper · pdf · doi:10.1007/s00220-005-1323-8

published as Commun.Math.Phys. 257 (2005) 119-149 · 35 pages, 6 figures

arxiv created 2003/09/15 · openalex publication_date 2005/03/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Moduli of J-Holomorphic Curves with Lagrangian Boundary Conditions and Open Gromov-Witten Invariants for an S¹-Equivariant Pair
• A degeneration of stable morphisms and relative stable morphisms
• Framed knots at large N
• Summing up Open String Instantons and N=1 String Amplitudes

Cited by

• A short overview of the "Topological recursion"
• Open Topological Strings and Integrable Hierarchies: Remodeling the A-Model
• A mathematical theory of the topological vertex