On Legendrian products and twist spuns
On Legendrian products and twist spuns
The Legendrian product of two Legendrian knots, as defined by Lambert-Cole, is a Legendrian torus.We show that this Legendrian torus is a twist spun whenever one of the Legendrian knot components is sufficiently large.We then study examples of Legendrian products which are not Legendrian isotopic to twist spuns.In order to …