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

Abstract

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

11 pages, 0 figure

References in corpus (1)

• Non-Kähler complex structures on $R^4$ II

Cited by in corpus (1)

• Creating Stein surfaces by topological isotopy