Brunnian local moves of knots and Vassiliev invariants

Akira Yasuhara

Fundamenta Mathematicae (2006)

  • Volume: 190, Issue: 1, page 289-297
  • ISSN: 0016-2736

Abstract

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K. Habiro gave a neccesary and sufficient condition for knots to have the same Vassiliev invariants in terms of C k -moves. In this paper we give another geometric condition in terms of Brunnian local moves. The proof is simple and self-contained.

How to cite

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Akira Yasuhara. "Brunnian local moves of knots and Vassiliev invariants." Fundamenta Mathematicae 190.1 (2006): 289-297. <http://eudml.org/doc/283138>.

@article{AkiraYasuhara2006,
abstract = {K. Habiro gave a neccesary and sufficient condition for knots to have the same Vassiliev invariants in terms of $C_k$-moves. In this paper we give another geometric condition in terms of Brunnian local moves. The proof is simple and self-contained.},
author = {Akira Yasuhara},
journal = {Fundamenta Mathematicae},
keywords = {Brunnian move; Vassiliev invariant; band sum},
language = {eng},
number = {1},
pages = {289-297},
title = {Brunnian local moves of knots and Vassiliev invariants},
url = {http://eudml.org/doc/283138},
volume = {190},
year = {2006},
}

TY - JOUR
AU - Akira Yasuhara
TI - Brunnian local moves of knots and Vassiliev invariants
JO - Fundamenta Mathematicae
PY - 2006
VL - 190
IS - 1
SP - 289
EP - 297
AB - K. Habiro gave a neccesary and sufficient condition for knots to have the same Vassiliev invariants in terms of $C_k$-moves. In this paper we give another geometric condition in terms of Brunnian local moves. The proof is simple and self-contained.
LA - eng
KW - Brunnian move; Vassiliev invariant; band sum
UR - http://eudml.org/doc/283138
ER -

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