Lengths of closed geodesics in a hyperbolic link complements in S^3.

by Dr Sreekrishna Palaparthi (TIFR)

Thursday 26 Nov 2009, 16:00 → 17:00 Asia/Kolkata

AG-69 (Colaba Campus)

Colin Adams and Alan Reid showed that the length of the shortest closed geodesic in a hyperbolic knot or link complemement in S^3 is bounced above by 7.171646... We will show that the length of an n^th shortest closed geodesic in a hyperbolic knot or link complement in S^3 is at-most a logarithmic function of n.