Abstract
We produce for each tropical hypersurface (Formula presented.) a Lagrangian (Formula presented.) whose moment map projection is a tropical amoeba of (Formula presented.). When these Lagrangians are admissible in the Fukaya–Seidel category, we show that they are unobstructed objects of the Fukaya category, and mirror to sheaves supported on complex hypersurfaces in a toric mirror. This paper relies extensively on color figures. Some references to color may not be meaningful in the printed version, and we refer the reader to the online version which includes the color figures.
| Original language | English |
|---|---|
| Pages (from-to) | 1409-1454 |
| Number of pages | 46 |
| Journal | Journal of Topology |
| Volume | 13 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Dec 2020 |
Keywords
- 14T05 (secondary)
- 53D12
- 53D37 (primary)