Add to ORKGIn this article, we give explicit calculations for the family Floer mirrors of some non-compact Calabi- Yau surfaces. We compare it with the mirror construction of Gross-Hacking-Keel-Siebert for suitably chosen log Calabi-Yau pairs and the rank two cluster varieties of nite type. In particular, the analytifications of the later two give partial compactifications of the family Floer mirrors that we computed.First author draf
We investigate a potential relationship between mirror symmetry for Calabi-Yau manifolds and the mir...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2011.Cataloged from PD...
We extend the construction of Calabi-Yau manifolds to hypersurfaces in non-Fano toric varieties, req...
In this article, we give explicit calculations for the family Floer mirrors of some non-compact Cala...
The SYZ approach to mirror symmetry for log Calabi-Yau manifolds starts from a Lagrangian torus fibr...
We construct special Lagrangian fibrations for log Calabi-Yau surfaces, and scattering diagrams from...
For a log Calabi Yau pair (X,D) with X\D smooth affine, satisfying either assumption 1.1 of "The can...
Cluster varieties come in pairs: for any $\mathcal{X}$ cluster variety there is an associated Fock-G...
Cluster varieties come in pairs: for any $\mathcal{X}$ cluster variety there is an associated Fock-G...
We present a new construction of “mirror pairs” of Calabi-Yau manifolds. On one side of the mirror ...
We show a mathematically precise version of the SYZ conjecture, proposed in the family Floer context...
For the last decade, Mark Gross and Bernd Siebert have worked with a number of collaborators to push...
In this dissertation we discuss two new constructions of Fano varieties, each directly inspired by i...
Given any smooth cubic curve E ⊆ P^2, we show that the complex affine structure of the special Lagr...
We find that for many Calabi-Yau threefolds with elliptic or genus one fibrations mirror symmetry fa...
We investigate a potential relationship between mirror symmetry for Calabi-Yau manifolds and the mir...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2011.Cataloged from PD...
We extend the construction of Calabi-Yau manifolds to hypersurfaces in non-Fano toric varieties, req...
In this article, we give explicit calculations for the family Floer mirrors of some non-compact Cala...
The SYZ approach to mirror symmetry for log Calabi-Yau manifolds starts from a Lagrangian torus fibr...
We construct special Lagrangian fibrations for log Calabi-Yau surfaces, and scattering diagrams from...
For a log Calabi Yau pair (X,D) with X\D smooth affine, satisfying either assumption 1.1 of "The can...
Cluster varieties come in pairs: for any $\mathcal{X}$ cluster variety there is an associated Fock-G...
Cluster varieties come in pairs: for any $\mathcal{X}$ cluster variety there is an associated Fock-G...
We present a new construction of “mirror pairs” of Calabi-Yau manifolds. On one side of the mirror ...
We show a mathematically precise version of the SYZ conjecture, proposed in the family Floer context...
For the last decade, Mark Gross and Bernd Siebert have worked with a number of collaborators to push...
In this dissertation we discuss two new constructions of Fano varieties, each directly inspired by i...
Given any smooth cubic curve E ⊆ P^2, we show that the complex affine structure of the special Lagr...
We find that for many Calabi-Yau threefolds with elliptic or genus one fibrations mirror symmetry fa...
We investigate a potential relationship between mirror symmetry for Calabi-Yau manifolds and the mir...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2011.Cataloged from PD...
We extend the construction of Calabi-Yau manifolds to hypersurfaces in non-Fano toric varieties, req...