Abstract:
We shortly review some recent results about knots and links in
lens spaces. A disk diagram is described together with a
Reidemeister-type theorem concerning equivalence. The lift of
knots/links in the $3$-sphere is discussed, showing examples of
different knots and links having equivalent lift. The essentiality
respect to the lift of classical invariants on knots/links in lens
spaces is discussed.
Keywords:knot, link, lens space, lift, fundamental quandle, group of the link, twisted Alexander polynomial.