Classification of alternating knots with tunnel number one
Abstract
Description
This paper gives a complete classification of all alternating knots with tunnel number one, and all their unknotting tunnels. We prove that the only such knots are two-bridge knots and certain Montesinos knots.
38 pages, 26 figures; to appear in Communications in Analysis and Geometry
38 pages, 26 figures; to appear in Communications in Analysis and Geometry