Proper links, algebraically split links and Arf invariant

Authors
Kadokami, T Yasuhara, A
Citation
T. Kadokami et A. Yasuhara, Proper links, algebraically split links and Arf invariant, J MATH JPN, 52(3), 2000, pp. 591-608
Citations number
22
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN
ISSN journal
00255645 → ACNP
Volume
52
Issue
3
Year of publication
2000
Pages
591 - 608
Database
ISI
SICI code
0025-5645(200007)52:3<591:PLASLA>2.0.ZU;2-Y
Abstract
In this paper we study certain kinds of links; proper links, algebraically 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 geome tric definitions, we study the Arf invariants of these links.