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Higher-dimensional knot groups and decision problems Gordon, Cameron
Description
An $n$-knot is a locally flat PL $n$-sphere in $S^{n+2}$. We show that many decision problems about $n$-knot groups, $n \ge 3$, and groups of closed orientable surfaces in $S^4$, are unsolvable. We will also discuss the case of 2-knots, where the corresponding questions are still open. This is joint work with Fico González-Acuña and Jonathan Simon.
Item Metadata
| Title |
Higher-dimensional knot groups and decision problems
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2019-11-04T09:02
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| Description |
An $n$-knot is a locally flat PL $n$-sphere in $S^{n+2}$. We show that many decision problems about $n$-knot groups, $n \ge 3$, and groups of closed orientable surfaces in $S^4$, are unsolvable. We will also discuss the case of 2-knots, where the corresponding questions are still open. This is joint work with Fico González-Acuña and Jonathan Simon.
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| Extent |
48.0 minutes
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: University of Texas at Austin
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| Series | |
| Date Available |
2020-05-03
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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| DOI |
10.14288/1.0390291
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Faculty
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International