Infinite sequences of mutually non-conjugate surface braids representing same surface-links

Author:
Masahide Iwakiri

Journal:
Proc. Amer. Math. Soc. **140** (2012), 357-366

MSC (2010):
Primary 57Q45

DOI:
https://doi.org/10.1090/S0002-9939-2011-10893-1

Published electronically:
May 25, 2011

MathSciNet review:
2833546

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Abstract | References | Similar Articles | Additional Information

Abstract: We give an infinite sequence of mutually non-conjugate surface braids with same degree representing the trivial surface-link with at least two components and a pair of non-conjugate surface braids with same degree representing a spun -torus knot for . To give these examples, we introduce new invariants of conjugacy classes of surface braids via colorings by Alexander quandles or core quandles of groups.

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Additional Information

**Masahide Iwakiri**

Affiliation:
Graduate School of Science, Osaka City University, 3-3-138 Sugimoto Sumiyoshi-ku, Osaka 558-8585, Japan

Address at time of publication:
Graduate School of Science and Engineering, Saga University, 1 Honjo-machi, Saga City, Saga, 840-8502, Japan

Email:
iwakiri@sci.osaka-cu.ac.jp, iwakiri@ms.saga-u.ac.jp

DOI:
https://doi.org/10.1090/S0002-9939-2011-10893-1

Received by editor(s):
July 16, 2010

Received by editor(s) in revised form:
November 11, 2010, and November 12, 2010

Published electronically:
May 25, 2011

Communicated by:
Daniel Ruberman

Article copyright:
© Copyright 2011
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.