Special Lagrangian fibrations, mirror symmetry and Calabi-Yau double covers
| dc.creator | Auroux, Denis | |
| dc.date | 2008-03-18 | |
| dc.date.accessioned | 2026-07-07T09:27:30Z | |
| dc.date.available | 2026-07-07T09:27:30Z | |
| dc.description | The first part of this paper is a review of the Strominger-Yau-Zaslow conjecture in various settings. In particular, we summarize how, given a pair (X,D) consisting of a Kahler manifold and an anticanonical divisor, families of special Lagrangian tori in X-D and weighted counts of holomorphic discs in X can be used to build a Landau-Ginzburg model mirror to X. In the second part we turn to more speculative considerations about Calabi-Yau manifolds with holomorphic involutions and their quotients. Namely, given a hypersurface H representing twice the anticanonical class in a Kahler manifold X, we attempt to relate special Lagrangian fibrations on X-H and on the (Calabi-Yau) double cover of X branched along H; unfortunately, the implications for mirror symmetry are far from clear. | |
| dc.description | 27 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/0803.2734 | |
| dc.identifier | http://arxiv.org/abs/0803.2734 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157124 | |
| dc.subject | Symplectic Geometry | |
| dc.title | Special Lagrangian fibrations, mirror symmetry and Calabi-Yau double covers | |
| dc.type | text |