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math.GT2024
The space of immersed polygons
Maxime Fortier Bourque
We use the Schwarz-Christoffel formula to show that for every , the space of labelled immersed -gons in the plane up to similarity is homeomorphic to $\mathbb{R}^{2n-4}…
math.GT2024
The extremal length systole of the cube punctured at its vertices
Samuel Dobchies, Maxime Fortier Bourque
We prove that the extremal length systole of the cube punctured at its vertices is realized by the 12 curves surrounding its edges and give a characterization of the corresponding…