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Noncompact surfaces, triangulations and rigidity

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Forthcoming
<mark>Journal publication date</mark>3/03/2025
<mark>Journal</mark>Bulletin of the London Mathematical Society
Publication StatusAccepted/In press
<mark>Original language</mark>English

Abstract

Every noncompact surface is shown to have a (3,6)-tight triangulation, and applications are given to the generic rigidity of countable bar-joint frameworks in R3. In particular, every noncompact surface has a (3,6)-tight triangulation that is minimally 3-rigid. A simplification of Richards' proof of Kerekjarto's classification of noncompact surfaces is also given.