The topology of rationally and polynomially convex domains
Kai Cieliebak, Yakov Eliashberg
TL;DR
This paper establishes the precise topological conditions under which domains are rationally or polynomially convex, advancing the understanding of complex convexity.
Contribution
It provides necessary and sufficient topological criteria for rational and polynomial convexity of domains in complex analysis.
Findings
Characterization of topological conditions for convexity
Necessary and sufficient conditions identified
Enhanced understanding of convexity in complex domains
Abstract
We give in this article necessary and sufficient conditions on the topology of rationally and polynomially convex domains.
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Taxonomy
TopicsGeometric and Algebraic Topology · Holomorphic and Operator Theory · Homotopy and Cohomology in Algebraic Topology