Singularities of special Lagrangian submanifolds
We survey what is known about singularities of special Lagrangian submanifolds (SL $m$-folds) in (almost) Calabi-Yau manifolds. The bulk of the paper summarizes the author's work [18-22] on SL $m$-folds $X$ with isolated conical singularities. That is, near each singular point $x$, $X$ is model...
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| Natura: | Book section |
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Kluwer/Plenum
2003
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| Riassunto: | We survey what is known about singularities of special Lagrangian submanifolds (SL $m$-folds) in (almost) Calabi-Yau manifolds. The bulk of the paper summarizes the author's work [18-22] on SL $m$-folds $X$ with isolated conical singularities. That is, near each singular point $x$, $X$ is modelled on an SL cone $C$ in $\mathbb{C}^m$ with isolated singularities at 0. We also discuss directions for future research, and give a list of open problems. |
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