G2 GEOMETRY
Aspects of G2 Geometry
| Coordinatore | SCUOLA NORMALE SUPERIORE DI PISA
Organization address
address: Piazza dei Cavalieri 7 contact info |
| Nazionalità Coordinatore | Italy [IT] |
| Totale costo | 45˙000 € |
| EC contributo | 45˙000 € |
| Programma | FP7-PEOPLE
Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) |
| Code Call | FP7-PEOPLE-2010-RG |
| Funding Scheme | MC-ERG |
| Anno di inizio | 2010 |
| Periodo (anno-mese-giorno) | 2010-10-01 - 2013-09-30 |
Partecipanti
| # | ||||
|---|---|---|---|---|
| 1 |
SCUOLA NORMALE SUPERIORE DI PISA
Organization address
address: Piazza dei Cavalieri 7 contact info |
IT (Pisa) | coordinator | 45˙000.00 |
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Obiettivo del progetto (Objective)
'A first objective of this proposal is to construct large numbers of new G2 manifolds by extending Kovalev's ``connect sum' construction to a larger class of 3-folds. This will be achieved via a combination of differential, algebraic and analytic methods which will lead to a very good understanding of the topology of these manifolds, of the relationship to the geometry of the generating 3-folds, and of the limits of the ``connect sum' construction.
A second objective is to construct new examples of associative submanifolds, partly using the above results, and to study moduli spaces of associative submanifolds with respect to various notions of ``tame' G2 structures.
A third objective is to construct holomorphic 3-folds with trivial canonical class starting from integral affine manifolds.'