The Mathematical Institute, University of Oxford, Eprints Archive

Singularities of special Lagrangian submanifolds

Joyce, Dominic (2003) Singularities of special Lagrangian submanifolds. In: Different Faces of Geometry. International Mathematical Series, 3 . Kluwer/Plenum. (In Press)

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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.

Item Type:Book Section
Subjects:D - G > Differential geometry
Research Groups:Geometry Group
ID Code:92
Deposited By:Dominic Joyce
Deposited On:07 Jun 2004
Last Modified:20 Jul 2009 14:18

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