On the homology length spectrum of surfaces

Daniel Massart; Hugo Parlier

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arXiv · 1406.5432

On the homology length spectrum of surfaces

Daniel Massart·Hugo Parlier

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Abstract

On a surface with a Finsler metric, we investigate the asymptotic growth of the number of closed geodesics of length less than $L$ which minimize length among all geodesic multicurves in the same homology class. An important class of surfaces which are of interest to us are hyperbolic surfaces.

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Daniel Massart, Hugo Parlier. 2014-06-20. On the homology length spectrum of surfaces. https://arxiv.org/abs/1406.5432

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