Title	The Jones-Krushkal polynomial and minimal diagrams of surface links
Creator	Boden, Hans
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-11-08T11:16
Description	We prove an analogue of the Kauffman-Murasugi-Thistlethwaite theorem for alternating links in surfaces. It states that any reduced alternating diagram of a link in a thickened surface has minimal crossing number, and any two reduced alternating diagrams of the same link have the same writhe. The proof holds more generally for links admitting adequate diagrams and the key ingredient is a two-variable generalization of the Jones polynomial for surface links defined by Krushkal. This result extends the first and second Tait conjectures to alternating links in thickened surfaces and also to alternating virtual links.
Extent	55.0 minutes
Subject	Mathematics; Manifolds And Cell Complexes
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: McMaster University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2020-09-09
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0394275
URI	http://hdl.handle.net/2429/75931
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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