Proper links, algebraically split links and Arf invariant

• KADOKAMI Teruhisa

  Department of Mathematics Osaka City University

• YASUHARA Akira

  Department of Mathematics Tokyo Gakugei University Department of Mathematics The George Washington University

Abstract

In this paper we study certain kinds of links; proper links, algebraically split links and Z₂-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 definitions, we study the Arf invariants of these links.

Journal

• Journal of the Mathematical Society of Japan

  Journal of the Mathematical Society of Japan 52 (3), 591-608, 2000

  The Mathematical Society of Japan

Keywords

• Proper link
• algebraically split link
• R-complex
• Arf invariant
• Brown invariant

Details

• CRID: 1390282680093084032
• NII Article ID: 10004480483
• NII Book ID: AA0070177X
• DOI: 10.2969/jmsj/05230591
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 1760607
• NDL BIB ID: 5475612
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I5475612
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed