Gromov-Witten invariants of toric Calabi-Yau threefolds

Details Gromov-Witten invariants of toric Calabi-Yau threefolds Gromov-Witten invariants of toric Calabi-Yau threefolds

2008-11-28

arxiv.org/abs/0811.4703v3

Handbook of Geometric Analysis (Vol.II), 139--159, Adv. Lect. Math. (ALM) 13, Higher Education Press and International Press,

Mathematics

Algebraic Geometry

18 pages, 9 figures; dedicated to Shing-Tung Yau on the occasion of his 59th birthday

Scientific paper

Based on the large N duality relating topological string theory on Calabi-Yau 3-folds and Chern-Simons theory on 3-manifolds, M. Aganagic, A. Klemm, M. Marino and C. Vafa proposed the topological vertex (hep-th/0305132), an algorithm on computing Gromov-Witten invariants in all genera of any non-singular toric Calabi-Yau 3-fold. In this expository article, we describe the mathematical theory of the topological vertex developed by J. Li, K. Liu, J. Zhou, and the author (math/0408426).

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