Brunnian local moves of knots and Vassiliev invariants

Akira Yasuhara

doi:10.4064/fm190-0-11

Brunnian local moves of knots and Vassiliev invariants

Akira Yasuhara^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	289-297
Number of pages	9
Journal	Fundamenta Mathematicae
Volume	190
DOIs	https://doi.org/10.4064/fm190-0-11
Publication status	Published - 2006
Externally published	Yes

Keywords

Band sum
Brunnian move
Vassiliev invariant

ASJC Scopus subject areas

Algebra and Number Theory

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10.4064/fm190-0-11

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title = "Brunnian local moves of knots and Vassiliev invariants",

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.",

keywords = "Band sum, Brunnian move, Vassiliev invariant",

author = "Akira Yasuhara",

year = "2006",

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AU - Yasuhara, Akira

PY - 2006

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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.

KW - Band sum

KW - Brunnian move

KW - Vassiliev invariant

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JO - Fundamenta Mathematicae

JF - Fundamenta Mathematicae

ER -

Brunnian local moves of knots and Vassiliev invariants

Abstract

Keywords

ASJC Scopus subject areas

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