We prove a new lower bound for the dilatation of an arbitrary pseudo-Anosov map on a surface of genus g with n punctures. Our bound improves the former exponential dependence on the genus by a polynomial dependence.
Quadrisecants give new lower bounds for the ropelength of a knot
An Improvement of the lower bound for the minimum number of link colorings by quandles
Bridge Number and Conway Products
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