|
|||||
|
|
|
|
|
|
|
|
|
A
mathematical theory of the topological vertex
Jun Li, Chiu-Chu Melissa Liu, Kefeng Liu and Jian Zhou |
|
Geometry & Topology 13 (2009) 527–621
|
Abstract |
|
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. |
Keywords
topological vertex, Gromov–Witten invariant, Calabi–Yau
threefold
|
Mathematical Subject Classification 2000
Primary: 14N35, 53D45
Secondary: 57M27
|
References |
Publication
Received: 23 October 2007
Revised: 27 July 2008
Accepted: 3 October 2008
Preview posted: 12 November 2008
Published: 1 January 2009
Proposed: Jim Bryan
Seconded: Lothar Goettsche, Eleny Ionel
|
Authors |
| Jun Li | |
| Department of Mathematics Stanford University Stanford, CA 94305 USA |
|
| Chiu-Chu Melissa Liu | |
| Department of Mathematics Columbia University New York, NY 10027 USA |
|
| Kefeng Liu | |
| 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 |
|
| Jian Zhou | |
| Department of Mathematical
Sciences Tsinghua University Beijing 100084 China |
|
|
