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arXiv · 2406.02053

Geometric surgeries of three-dimensional flag structures and non-uniformizable examples

Elisha Falbel·Martin Mion-Mouton
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Abstract

In this paper, we introduce a notion of geometric surgery for flag structures, which are geometric structures locally modelled on the three-dimensional flag space under the action of ${\mathrm{PGL}}_3(\mathbb{R})$. Using such surgeries we provide examples of flag structures, of both uniformizable and non-uniformizable type.

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Elisha Falbel, Martin Mion-Mouton. 2024-06-04. Geometric surgeries of three-dimensional flag structures and non-uniformizable examples. https://arxiv.org/abs/2406.02053

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