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arXiv · 1605.03024

Homotopic properties of Kähler orbifolds

Giovanni Bazzoni·Indranil Biswas·Marisa Fernández·Vicente Muñoz·Aleksy Tralle
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Abstract

We prove the formality and the evenness of odd-degree Betti numbers for compact Kähler orbifolds, by adapting the classical proofs for Kähler manifolds. As a consequence, we obtain examples of symplectic orbifolds not admitting any Kähler 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 $b_2\,> 1$.

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Giovanni Bazzoni, Indranil Biswas, Marisa Fernández, Vicente Muñoz, Aleksy Tralle. 2016-12-29. Homotopic properties of Kähler orbifolds. https://arxiv.org/abs/1605.03024

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