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A Mathematical Theory of the Topological Vertex

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arxiv math/0408426 v3 pith:VAZJYZXK submitted 2004-08-31 math.AG hep-thmath-phmath.DGmath.MP

Jun Li , Chiu-Chu Melissa Liu , Kefeng Liu , Jian Zhou This is my paper · ORCID
classification math.AGhep-thmath-phmath.DGmath.MP
keywords theorycalabi-yaumathematicalsmooththreefoldstopologicalaganagicchern-simons
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We have developed a mathematical theory of the topological vertex--a theory that was original proposed by M. Aganagic, A. Klemm, M. Marino, and C. Vafa in hep-th/0305132 on effectively computing Gromov-Witten invariants of smooth toric Calabi-Yau threefolds derived from duality between open string theory of smooth Calabi-Yau threefolds and Chern-Simons theory on three manifolds.

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  1. Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex

    math-ph 2025-01 conditional novelty 6.0 of 10

    First topological-vertex computations of colored unknot and Hopf link invariants in RP^3 yield power series with positive integer q-expansions, conjecturally the Poincare series of a new link homology.

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