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arXiv · 2011.14464

On the symplectic fillings of standard real projective spaces

Paolo Ghiggini·Klaus Niederkrüger-Eid
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Abstract

We prove, in a geometric way, that the standard contact structure on the real projective space of dimension $2n-1$ is not Liouville fillable for $n \ge 3$ and odd. We also prove that, for all $n$, semipositive fillings of those contact structures are simply connected. Finally we give yet another proof of the Eliashberg-Floer-McDuff theorem on the diffeomorphism type of the symplectically aspherical fillings of the standard contact structure on the $(2n-1)$-dimensional sphere.

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Paolo Ghiggini, Klaus Niederkrüger-Eid. 2020-11-29. On the symplectic fillings of standard real projective spaces. https://doi.org/10.1007/s11784-022-00943-y

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