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Showing 1 to 1 of 1 for “"Untangling curves"”.
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Certain free group functions and untangling closed curves on surfaces
This thesis primarily addresses the problem of untangling closed geodesics in finite covers of hyperbolic surfaces. Our motivation comes from results of Scott and Patel. Scott's result tells us that one can always untangle a closed geodesic on a hyperbolic surface in a finite degree cover. Our goal …