Brooke-Taylor, A orcid.org/0000-0003-3734-0933 and Miller, S (2016) Complexity of a knot invariant. In: PAMM. Joint 87th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mathematiker‐Vereinigung (DMV), 07-11 Mar 2016, Brunswick, Germany. Wiley-VCH Verlag , pp. 899-900.
Abstract
The algebraic structures called quandles constitute a complete invariant for tame knots. However, determining when two quandles are isomorphic is an empirically hard problem, so there is some dissatisfaction with quandles as knot invariants. We have confirmed this apparent difficulty, showing within the framework of Borel reducibility that the general isomorphism problem for quandles is as complex as possible.
Metadata
Item Type: | Proceedings Paper |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2016 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim. This is an author produced version of a paper published in PAMM. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Funding Information: | Funder Grant number EPSRC EP/K035703/2 |
Depositing User: | Symplectic Publications |
Date Deposited: | 27 Sep 2016 12:19 |
Last Modified: | 31 Jan 2019 14:45 |
Status: | Published |
Publisher: | Wiley-VCH Verlag |
Identification Number: | 10.1002/pamm.201610438 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:105123 |