Proper links, algebraically split links and arf invariant

Teruhisa Kadokami, Akira Yasuhara

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we study certain kinds of links; proper links, algebra- ically 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 defini- tions, we study the Arf invariants of these links.

Original languageEnglish
Pages (from-to)591-608
Number of pages18
JournalJournal of the Mathematical Society of Japan
Volume52
Issue number3
DOIs
Publication statusPublished - 2000
Externally publishedYes

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

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