A criterion for the Legendrian simplicity of the connected sum

Abstract

In this paper, we provide the necessary and sufficient conditions for the connected sum of knots in $S^3$ to be Legendrian simple.

11 pages, 8 figures

References in corpus (3)

• Legendrian and transverse cables of positive torus knots
• Studying uniform thickness I: Legendrian simple iterated torus knots
• Studying uniform thickness II: Transversely non-simple iterated torus knots