Leonid Plachta (Gdansk and Lviv)
On the n-equivalence of knots and two-component links in 3-space

In this talk we shall discuss some geometric aspects of invariants
of finite order of knots and links in $S^3$.

In particular, we consider for each $n$ the $n$-(primitive)
deterministic sets of knots of bounded genus. Some particular
cases of the relation of $n$-equivalence ($n$-adjacency and
surgery $n$-triviality) on knots will be treated. We indicate the
relationship between knot and link invariants of finite order and
satellite operations. We also consider the $n$-equivalence of
two-component links in the sense of Kirk and Livingston and
discuss some geometric questions arisen in its study.