Abstract. 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 in-variants, which is done by relating them with closed Gromov-Witten invariants via compactification and using an earlier computation by Bryan-Leung. 1
Mirror Symmetry, Picard-Fuchs equations and instanton corrected Yukawa couplings are discussed withi...
Mirror Symmetry, Picard-Fuchs equations and instanton corrected Yukawa couplings are discussed withi...
We prove a conjecture of Artur Elezi in a generalized form suggested by Givental. Namely, our main ...
It is conjectured that the SYZ map equals to the inverse mirror map. In dimension two this conjectur...
Abstract. We investigate mirror symmetry for toric Calabi-Yau man-ifolds from the perspective of the...
We carry out the SYZ program for the local Calabi–Yau manifolds of type A˜ by developing an equivari...
Abstract. Given a toric Calabi-Yau orbifold X whose underlying toric variety is semi-projective, we ...
Gromov-Witten invariants play a crucial role in symplectic- and enumerative Geometry as well as topo...
Gromov-Witten invariants play a crucial role in symplectic- and enumerative Geometry as well as topo...
The Remodeling Conjecture proposed by Bouchard-Klemm-Marino-Pasquetti (BKMP) relates the A-model ope...
The Remodeling Conjecture proposed by Bouchard-Klemm-Marifio-Pasquetti (BKMP) relates the A-model op...
We use the mirror theorem for toric Deligne-Mumford stacks, proved recently by the authors and by Ch...
The classical mirror theorems relate the Gromov-Witten theory of a Calabi-Yau manifold at genus 0 to...
We propose localization techniques for computing Gromov-Witten invariants of maps from Riemann surfa...
A conjecture expressing genus 1 Gromov-Witten invariants in mirror-theoretic terms of semi-simple Fr...
Mirror Symmetry, Picard-Fuchs equations and instanton corrected Yukawa couplings are discussed withi...
Mirror Symmetry, Picard-Fuchs equations and instanton corrected Yukawa couplings are discussed withi...
We prove a conjecture of Artur Elezi in a generalized form suggested by Givental. Namely, our main ...
It is conjectured that the SYZ map equals to the inverse mirror map. In dimension two this conjectur...
Abstract. We investigate mirror symmetry for toric Calabi-Yau man-ifolds from the perspective of the...
We carry out the SYZ program for the local Calabi–Yau manifolds of type A˜ by developing an equivari...
Abstract. Given a toric Calabi-Yau orbifold X whose underlying toric variety is semi-projective, we ...
Gromov-Witten invariants play a crucial role in symplectic- and enumerative Geometry as well as topo...
Gromov-Witten invariants play a crucial role in symplectic- and enumerative Geometry as well as topo...
The Remodeling Conjecture proposed by Bouchard-Klemm-Marino-Pasquetti (BKMP) relates the A-model ope...
The Remodeling Conjecture proposed by Bouchard-Klemm-Marifio-Pasquetti (BKMP) relates the A-model op...
We use the mirror theorem for toric Deligne-Mumford stacks, proved recently by the authors and by Ch...
The classical mirror theorems relate the Gromov-Witten theory of a Calabi-Yau manifold at genus 0 to...
We propose localization techniques for computing Gromov-Witten invariants of maps from Riemann surfa...
A conjecture expressing genus 1 Gromov-Witten invariants in mirror-theoretic terms of semi-simple Fr...
Mirror Symmetry, Picard-Fuchs equations and instanton corrected Yukawa couplings are discussed withi...
Mirror Symmetry, Picard-Fuchs equations and instanton corrected Yukawa couplings are discussed withi...
We prove a conjecture of Artur Elezi in a generalized form suggested by Givental. Namely, our main ...