Homotopic properties of K\"ahler orbifolds

29 Dec 2016  ·  Bazzoni Giovanni, Biswas Indranil, Fernández Marisa, Muñoz Vicente, Tralle Aleksy ·

We prove the formality and the evenness of odd-degree Betti numbers for compact K\"ahler orbifolds, by adapting the classical proofs for K\"ahler manifolds. As a consequence, we obtain examples of symplectic orbifolds not admitting any K\"ahler orbifold structure... We also review the known examples of non-formal simply connected Sasakian manifolds, and produce an example of a non-formal quasi-regular Sasakian manifold with Betti numbers $b_1=0$ and $b_2\,> 1$. read more

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Differential Geometry Algebraic Topology Symplectic Geometry