BOUNDARY STRING LINKS-Reference-Cited by-同舟云学术

BOUNDARY STRING LINKS

Published:1999-11 Issue:07 Volume:08 Page:855-878
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

DE CAMPOS JOSÉ EDUARDO PRADO PIRES¹

Affiliation:

1. Instituto de Ciéncias Matemáticas e de Computação, Universidade de São Paulo, São Carlos, SP, 13560-970, Brazil

Abstract

The group BSL(k) of boundary cobordism classes of boundary k-string links is defined. An epimorphism from BSL(k) to a group of cobordism classes of matrices is defined. An action of a certain group of pure braids on BSL(k) provides all possible splittings for a given boundary k-link. A necessary and sufficient condition is given for two elements of BSL(k) to have the same closure as an F(k)-link (i.e., a boundary k-link with one of its splittings), up to F(k)-cobordism.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216599000547

Reference10 articles.

1. Theorie der Zöpfe

2. A Lemma on Systems of Knotted Curves

3. Link cobordism

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