paper

Legendrian rational unknots in lens spaces

arXiv:1302.3792

Abstract

We classify Legendrian rational unknots with tight complements in the lens spaces L(p,1) up to coarse equivalence. As an example of the general case, this classification is also worked out for L(5,2). The knots are described explicitly in a contact surgery diagram of the corresponding lens space.

25 pages, 12 figures