Mathematics – Symplectic Geometry
Scientific paper
2010-08-27
Mathematics
Symplectic Geometry
15 pages, 7 figures
Scientific paper
We prove that the mirror map is the SYZ map for every toric Calabi-Yau
surface. As a consequence one obtains an enumerative meaning of the mirror map.
This involves computing genus-zero open Gromov-Witten invariants, which is done
by relating them with closed Gromov-Witten invariants via compactification and
using an earlier computation by Bryan-Leung.
Lau Siu-Cheong
Leung Naichung Conan
Wu Baosen
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