Knots and Contact Geometry II: Connected Sums
Abstract
Description
We study the behavior of Legendrian and transverse knots under the operation of connected sums. As a consequence we show that there exist Legendrian knots that are not distinguished by any known invariant. Moreover, we classify Legendrian knots in some non-Legendrian simple knot types.
13 pages, 5 figures
13 pages, 5 figures