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TERMINÉ
Topological and analytic aspects of special Lagrangian singularities (SL SINGULARITIES)
Date du début: 1 oct. 2007, Date de fin: 30 sept. 2009,
The first main objective of this proposal is to determine topological and Floer-theoretic obstructions to the existence of embedded Maslov-zero Lagrangian desingularizations of special Lagrangian (SL) cones. In particular, several such obstructions are expected to arise from the application of Contact homology techniques to the boundary of a neighbourhood of the singular point.The second main obje ...
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TERMINÉ
Construction of new G2 manifolds using Calabi-Yau 3-folds (G2 MANIFOLDS)
Date du début: 20 août 2007, Date de fin: 19 nov. 2008,
...of the existence of a parallel G2-structure on the resulting smooth 7-manifold will involve techniques of non-linear analysis similar to those developed by the proposed scientist in charge, Professor Dominic Joyce when he constructed the first examples of smooth compact G2 manifolds in 1993-4. Such constructions are important both for differential geometry and for super-string and super-gravity th ...
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