Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4665017 | Advances in Mathematics | 2017 | 83 Pages |
Abstract
For each sphere with three orbifold points, we construct an algorithm to compute the open Gromov-Witten potential, which serves as the quantum-corrected Landau-Ginzburg mirror and is an infinite series in general. This gives the first class of general-type geometries whose full potentials can be computed. As a consequence we obtain an enumerative meaning of mirror maps for elliptic curve quotients. Furthermore, we prove that the open Gromov-Witten potential is convergent, even in the general-type cases, and has an isolated singularity at the origin, which is an important ingredient of proving homological mirror symmetry.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Cheol-Hyun Cho, Hansol Hong, Sang-hyun Kim, Siu-Cheong Lau,