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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
Creator
Ruberman, Daniel
Publisher
Banff International Research Station for Mathematical Innovation and Discovery
Date Issued
2019-11-07T09:01
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.
Extent
53.0 minutes
Subject
Mathematics; Manifolds And Cell Complexes
Type
Moving Image
File Format
video/mp4
Language
eng
Notes
Author affiliation: Brandeis University
Series
BIRS Workshop Lecture Videos (Banff, Alta)
Date Available
2020-05-06
Provider
Vancouver : University of British Columbia Library
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
DOI
10.14288/1.0390365
URI
http://hdl.handle.net/2429/74345
Affiliation
Non UBC
Peer Review Status
Unreviewed
Scholarly Level
Faculty
Rights URI
http://creativecommons.org/licenses/by-nc-nd/4.0/
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Attribution-NonCommercial-NoDerivatives 4.0 International