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U$$(1)$$-invariant special Lagrangian 3-folds in $$\mathbb{C}^3$$ and special Lagrangian fibrations. (English) Zbl 1040.53091
The author gives a survey of four of his papers on special Lagrangian 3-folds in $$\mathbb{C}^3$$, invariant under some $$U$$(1)-action, together with applications on special Lagrangian fibrations and the $$SYZ$$-conjecture. There are no proofs, but the content is clear and contains many examples.

##### MSC:
 53D12 Lagrangian submanifolds; Maslov index 14J32 Calabi-Yau manifolds (algebro-geometric aspects) 53C38 Calibrations and calibrated geometries 32Q25 Calabi-Yau theory (complex-analytic aspects)
##### Keywords:
special Lagrangian 3-fold; Lagrangian fibration
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