A mathematical theory of the topological vertex

Li, Jun¹ ; Liu, Chiu-Chu Melissa² ; Liu, Kefeng³ ; Zhou, Jian⁴

¹ Department of Mathematics, Stanford University, Stanford, CA 94305, USA
² Department of Mathematics, Columbia University, New York, NY 10027, USA
³ Center of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China, and Department of Mathematics, University of California at Los Angeles, Los Angeles, CA 90095-1555, USA
⁴ Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China

Geometry & topology, Tome 13 (2009) no. 1, pp. 527-621.

Résumé

We have developed a mathematical theory of the topological vertex—a theory that was originally proposed by M Aganagic, A Klemm, M Mariño and C Vafa 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.

Détail

DOI : 10.2140/gt.2009.13.527

Keywords: topological vertex, Gromov–Witten invariant, Calabi–Yau threefold

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