Fermionic gluing principle of the topological vertex

2012/04/23 by Fusheng Deng, Jian Zhou · 1 citation
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Fermion #Geometric and Algebraic Topology #Geometry and complex manifolds #Topological entropy in physics #Topological quantum number #Topology (electrical circuits) #Vertex (graph theory) #hep-th #math-ph #math.AG #math.MP

paper · pdf · doi:10.1007/jhep06(2012)166

published in Journal of High Energy Physics 2012(6) (Springer Nature) · 24 pages. arXiv admin note: substantial text overlap with arXiv:1201.2500

arxiv created 2012/04/23 · openalex publication_date 2012/06/01 · arxiv updated 2015/06/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We will establish the fermionic gluing principle of the topological vertex, that is, provided the framed ADKMV conjecture, the generating functions of the Gromov-Witten invariants of all toric Calabi-Yau threefolds are Bogoliubov transforms of the vacuum.

Citations

• On fermionic representation of the Gromov-Witten invariants of the resolved Conifold
• Quantum field theory and the Jones polynomial
• A-polynomial, B-model, and quantization
• A mathematical theory of the topological vertex
• Deformed boson-fermion correspondence, Q-bosons, and topological strings on the conifold