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Aspects of G2 Geometry

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."

Field of science

  • /natural sciences/mathematics/pure mathematics/topology
  • /natural sciences/mathematics/pure mathematics/geometry

Call for proposal

FP7-PEOPLE-2010-RG
See other projects for this call

Funding Scheme

MC-ERG - European Re-integration Grants (ERG)

Coordinator

SCUOLA NORMALE SUPERIORE
Address
Piazza Dei Cavalieri 7
56126 Pisa
Italy
Activity type
Higher or Secondary Education Establishments
EU contribution
€ 45 000
Administrative Contact
Daniele Altamore (Dr.)