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Preprint in the OpenAI Math release

Removable Boundaries and Rigidity of Circle Domains

OpenAI

Abstract

We prove that a circle domain with conformally removable boundary is conformally rigid, with no restriction on the number of complementary components. This establishes the removability-to-rigidity direction of the He–Schramm Conjecture.

open until 1 Jan 2028

est. 50% chance this result is independently verified by the end of 2027.

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