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On the braid index of θ m ‐curve in 3‐space
Author(s) -
Shinnoki Tomoko,
Takamuki Takashi
Publication year - 2003
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200310107
Subject(s) - braid , mathematics , generalization , invariant (physics) , index (typography) , polynomial , degree (music) , pure mathematics , combinatorics , mathematical analysis , mathematical physics , computer science , materials science , physics , world wide web , acoustics , composite material
In this paper we consider the braid index and the number of Seifert circles of a θ m ‐curve in ℝ 3 as a generalization of the concepts on an oriented link and establish a relation between them and the degree of Yokota's polynomial invariant.