Data di Pubblicazione:
2018
Citazione:
On homological mirror symmetry of toric Calabi-Yau threefolds / M. Gross, D. Matessi. - In: JOURNAL OF SYMPLECTIC GEOMETRY. - ISSN 1527-5256. - 16:5(2018), pp. 1249-1349. [10.4310/JSG.2018.v16.n5.a3]
Abstract:
We use Lagrangian torus fibrations on the mirror X of a toric Calabi-Yau threefold X' to construct Lagrangian sections and various Lagrangian spheres on X. We then propose an explicit correspondence between the sections and line bundles on X' and between spheres and sheaves supported on the toric divisors of X'. We conjecture that these correspondences induce an embedding of the relevant derived Fukaya category of X inside the derived category of coherent sheaves on X'.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
mirror symmetry; Calabi-Yau; Lagrangian submanifold
Elenco autori:
M. Gross, D. Matessi
Link alla scheda completa: