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Singularities of special Lagrangian submanifolds

Abstract:
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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Authors

Publisher:
Kluwer/Plenum
Publication date:
2003-01-01
UUID:
uuid:397a97ab-48e5-47c7-a74f-b63e77cb6f76
Local pid:
oai:eprints.maths.ox.ac.uk:92
Deposit date:
2011-05-19