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Title	Presentation of knots by a braided Hopf algebra
Creator	Murakami, Jun
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-03-13T14:00
Description	The fundamental group of a knot complement is called a knot group.  A way to present a knot groups is the Wirtinger presentation, which is given by a conjugation action at each crossing of the knot.  This presentation is also given by a conjugate quandle, which matches well to the Hopf algebra structure of the group ring of the knot group.  Here we introduce the braided conjugate quandle corresponding to the braided Hopf algebra, which is a deformation of a Hopf algebra.  A typical example of the braided Hopf algebra is the braided  SL(2)  introduced by S. Majid, and so it may give a q-deformation of a SL(2) representation of the knot group.  This is joint with Roland van der Veen.
Extent	50 minutes
Subject	Mathematics Number theory Manifolds and cell complexes
Geographic Location	Banff (Alta.)
Type	Moving Image
FileFormat	video/mp4
Language	eng
Notes	Author affiliation: Waseda University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2018-09-10
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0371950
URI	http://hdl.handle.net/2429/67135
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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