Title	Topologically trivial proper 2-knots
Creator	Gompf, Bob
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-11-06T10:21
Description	We will discuss the knot theory of proper embeddings of the plane and half-open annulus in $\mathbb{R}^4$, focusing on what is arguably the simplest situation that is intrinsically noncompact. While it is still unknown if a smoothly knotted embedding $S^2\to\mathbb{R}^4$ can be topologically unknotted, there are various ways of realizing the analogous phenomenon for planes and annuli. We will show how to construct and distinguish various families of examples. These can exhibit remarkably different behavior, and can sometimes be explicitly drawn with level diagrams.
Extent	55.0 minutes
Subject	Mathematics; Manifolds And Cell Complexes
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Texas Austin
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2020-05-05
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0390352
URI	http://hdl.handle.net/2429/74329
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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