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A Mathematical Theory of the Topological Vertex

arXiv:math/0408426 · doi:10.2140/gt.2009.13.527

Abstract

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.

66 pages, 10 figures; notation simplified, references added