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math.GT2021
Closed geodesics in dilation surfaces
Adrien Boulanger, Selim Ghazouani, Guillaume Tahar
We prove that directions of closed geodesics in every dilation surface form a dense subset of the circle. The proof draws on a study of the degenerations of the Delaunay triangulat…
math.GT2017
A spectral approach to the linking number in the 3-torus
Adrien Boulanger
Given a closed Riemannian manifold and a pair of multi-curves in it, we give a formula relating the linking number of the later to the spectral theory of the Laplace operator actin…