A mathematical theory of the topological vertex

2004/08/31 by Jun Li, Chiu-Chu Melissa Liu, Kefeng Liu +1 · 57 citations
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Knot theory #Mathematical structure #Mathematical theory #Topological algebra #Topological dynamics #Topological space #Topology (electrical circuits) #Vertex (graph theory) #hep-th #math-ph #math.AG #math.DG #math.MP

paper · pdf · doi:10.2140/gt.2009.13.527

published in Geometry & Topology 13(1), 527-621 (Mathematical Sciences Publishers) · 66 pages, 10 figures; notation simplified, references added

arxiv created 2007/10/09 · openalex publication_date 2009/01/01 · arxiv updated 2014/11/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We have developed a mathematical theory of the topological vertex-a theory that was originally proposed by M Aganagic, A Klemm, M Mario and C Vafa on effectively computing Gromov-Witten invariants of smooth

Citations

• Localization and Gluing of Topological Amplitudes

Cited by

• Fermionic gluing principle of the topological vertex