## Proof of the SYZ Conjecture

**Authors:** Jaivir S.Baweja

In this short paper, we prove that the Strominger-Yau-Zaslow (SYZ) conjecture holds by showing that mirror symmetry is equivalent to T- duality under fibrations from Lagrangian tori. In order to do this, we use some recent developments on Ooguri- Vafa spaces to construct such fibers. Moreover, we show that this is only possible under the trivial vector bundle {0}, thus giving an equivalence between the triangulated categories D^b Fuk_0 (Y,ω) and D_0^b (Y ̌).

**Comments:** 5 Pages.

**Download:** **PDF**

### Submission history

[v1] 2012-08-27 08:11:04

**Unique-IP document downloads:** 161 times

**Add your own feedback and questions here:**

*You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.*

*
*