Proper links, algebraically split links and Arf invariant

摘要

In this paper we study certain kinds of links; proper links, algebra- ically split links and Z_2-algebraically split links. These links have 'algebraic' definitions. In fact these are defined in terms of the linking number. We shall give these links certain 'geometric' definitions. By using the geometric defini- tions, we study the Arf invariants of these links.