The topology of rationally and polynomially convex domains

2013/05/07 by Kai Cieliebak, Cieliebak, Kai, Yakov Eliashberg +1 · 1 citation
Mathematics · #32E20 #53D35 #Complex Variables (math.CV) #FOS: Mathematics #Geometric and Algebraic Topology #Holomorphic and Operator Theory #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG) #math.CV #math.SG #msc:32E20 #msc:53D35

paper · pdf · doi:10.48550/arxiv.1305.1614

23 pages, no figures, final version to appear in Invent. Math

openalex publication_date 2013/05/07 · arxiv created 2014/02/27 · arxiv updated 2014/02/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give in this article necessary and sufficient conditions on the topology of rationally and polynomially convex domains.

Citations

• Loose Legendrian embeddings in high dimensional contact manifolds

Cited by

• On Weinstein domains in symplectic manifolds

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