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arXiv · 1711.07429

A concave holomorphic filling of an overtwisted contact $3$-sphere

Naohiko Kasuya·Daniele Zuddas
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Abstract

In this paper we prove that the closed $4$-ball admits non-K\"ahler complex structures with strictly pseudoconcave boundary. Moreover, the induced contact structure on the boundary $3$-sphere is overtwisted.

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Naohiko Kasuya, Daniele Zuddas. 2017-11-20. A concave holomorphic filling of an overtwisted contact $3$-sphere. https://doi.org/10.2140/agt.2023.23.2141

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