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Spines for spineless 4-manifolds Ruberman, Daniel
Description
A recent paper of Levine-Lidman gives examples of simply connected 4-manifolds $X$, homotopy equivalent to a 2-sphere, that do not admit PL spines. In other words, there is no PL (not necessarily locally flat) embedded sphere in $X$ that is a strong deformation retract of $X$. I will show that a family of the Levine-Lidman examples admit a topological spineâ a locally PL sphere that is a strong deformation retract of $X$. This is joint work with Hee Jung Kim.
Item Metadata
Title |
Spines for spineless 4-manifolds
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2019-11-07T09:01
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Description |
A recent paper of Levine-Lidman gives examples of simply connected 4-manifolds $X$, homotopy equivalent to a 2-sphere, that do not admit PL spines. In other words, there is no PL (not necessarily locally flat) embedded sphere in $X$ that is a strong deformation retract of $X$. I will show that a family of the Levine-Lidman examples admit a topological spineâ a locally PL sphere that is a strong deformation retract of $X$. This is joint work with Hee Jung Kim.
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Extent |
53.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Brandeis University
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Series | |
Date Available |
2020-05-06
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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 |
10.14288/1.0390365
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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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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International