An algebraic classification of some links of codimension two

Abstract:

For $q \geqslant 2$, J. Levine proved that two simple $(2q - 1)$-knots are isotopic if and only if their Seifert matrices are equivalent. In this paper, we will prove the analogue of Levine’s result for simple boundary $(2q - 1)$-links; we will show that: “For $q \geqslant 3$, two simple boundary $(2q - 1)$-links are isotopic if and only if their Seifert matrices are l-equivalent (defined by some algebraic moves)."