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Seminários do IMPA

Geometria Diferencial

Almost complex 6-manifolds with trivial canonical bundle
Gonçalo Oliveira

Terça-feira, 19 de junho de 2018, 15:30
Sala 236.

An almost complex, real 6 dimensional, manifold with a topologically trivial canonical bundle, K, can be equipped with a complex 3-form trivializing K. It turns out that the real part of this 3-form $\rho$ is enough to determine all the structure. One says that $\rho$ determines a $SL(3,C)$-structure, which is called closed if $\rho$ is a closed form. In this talk, I will prove an h-principle for such closed $SL(3,C)$-structures and give a few applications. Time permitting, I may also mention/make a few interesting observations about the 6 sphere.