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Computing the braid index using only a knot diagram and knots where the braid index equals the bridge… Claus Ernst Mar 28, 2019

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Title Computing the braid index using only a knot diagram and knots where the braid index equals the bridge index
Creator Claus Ernst
Publisher Banff International Research Station for Mathematical Innovation and Discovery
Date Issued 2019-03-28T14:40
Description We talk about how to read the braid index of certain families of alternating knots from a minimal knot diagram. In addition we talk about a class of knots where the braid index equals the bridge index. These knots seem to have particular physical properties as demonstrated by several experiments. They undergo a periodic motion when sedimenting in a viscous fluid as knotted deformable closed chains, they also seem to achieve a circular minimum as elastic knots when their bending energy (curvature) is minimized.
Extent 23.0 minutes
Subject Mathematics
Biology and other natural sciences
Manifolds and cell complexes
Mathematical biology
Geographic Location Banff (Alta.)
Type Moving Image
FileFormat video/mp4
Language eng
Notes Author affiliation: Western Kentucky University
Series BIRS Workshop Lecture Videos (Banff, Alta)
Date Available 2019-09-25
Provider Vancouver : University of British Columbia Library
Rights Attribution-NonCommercial-NoDerivatives 4.0 International
DOI 10.14288/1.0380999
URI http://hdl.handle.net/2429/71772
Affiliation Non UBC
Peer Review Status Unreviewed
Scholarly Level Faculty
Rights URI http://creativecommons.org/licenses/by-nc-nd/4.0/
AggregatedSourceRepository DSpace

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48630-201903281440-Ernst_lrv.mp4 [ 73.18MB ]
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48630-1.0380999.ris

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