K3 surfaces with nonsymplectic involution and compact G2manifolds
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 Alexei Kovalev, Cambridge
 Wednesday 23 February 2011, 16:0017:00
 MR4.
If you have a question about this talk, please contact Ivan Smith.
I will describe a large new class of quasiprojective complex algebraic threefolds and their application to constructing many new examples of compact Ricciflat 7manifolds with holonomy G_2, via the connectedsum
method. The construction requires gluing two `matching’ pieces, each one being a product of a threefold and a circle. The threefolds are obtained using the theory of K3 surfaces with nonsymplectic involution due to Nikulin. The relation will also be explained between algebraic invariants of K3 surfaces and the `geography’ of Betti numbers of the new and some previously known compact G_2manifolds. Joint work with N.H. Lee.
This talk is part of the Differential Geometry and Topology Seminar series.
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