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Surfaces branchées et soléno\"ıdes $ε$-holomorphes

Bertrand Deroin
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Abstract

We show that for every $ε>0$, there exists a compact lamination by $ε$-holomorphic surfaces in the complex projective plane, minimal, and that carries hyperbolic holonomy. We call $ε$-holomorphic a real 2-dimensional surface $Σ$ in ${\bf C}P^2$ such that the angle between $TΣ$ and $iTΣ$ is uniformly bounded by $ε$. When $ε$ is sufficiently small, such surfaces are in particular symplectic.

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Bertrand Deroin. 2004-11-26. Surfaces branchées et soléno\"ıdes $ε$-holomorphes. https://arxiv.org/abs/math/0411593

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