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A REIDEMEISTER THEOREM FOR SOLID RIBBON TORUS LINKS

Published online by Cambridge University Press:  22 October 2024

ZSUZSANNA DANCSO Open the ORCID record for ZSUZSANNA DANCSO [Opens in a new window]  and
THOMAS MALLIARAS GAVRIELATOS Open the ORCID record for THOMAS MALLIARAS GAVRIELATOS [Opens in a new window]
ZSUZSANNA DANCSO*
Affiliation:
School of Mathematics and Statistics, The University of Sydney, Sydney, New South Wales, 2006, Australia
THOMAS MALLIARAS GAVRIELATOS
Affiliation:
School of Mathematics and Statistics, The University of Sydney, Sydney, New South Wales, 2006, Australia e-mail: t.malliarasgavrielatos@sydney.edu.au
*
e-mail: zsuzsanna.dancso@sydney.edu.au
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Abstract

A complete Reidemeister characterisation of welded links is a long-standing open problem. We present a Reidemeister theorem for a related class of four-dimensional links: solid ribbon torus links, that is, immersed solid tori in $\mathbb {R}^4$ with only ribbon singularities, considered up to generalised ribbon isotopy.

Keywords

Reidemeister theoremribbon torus linkstube mapwelded links

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Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 112 , Issue 1 , August 2025 , pp. 201 - 215
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Copyright
© The Author(s), 2024. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.

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