On the homology length spectrum of surfaces

Published 20 Jun 2014 in math.DG and math.DS | (1406.5432v1)

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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