Knots and Contact Geometry II: Connected Sums
Symplectic Geometry
2007-05-23 v1 Geometric Topology
Abstract
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.
Cite
@article{arxiv.math/0205310,
title = {Knots and Contact Geometry II: Connected Sums},
author = {John B. Etnyre and Ko Honda},
journal= {arXiv preprint arXiv:math/0205310},
year = {2007}
}
Comments
13 pages, 5 figures