SIMPLY CONNECTED, SPINELESS 4-MANIFOLDS

dc.contributor.author

Levine, AS

dc.contributor.author

Lidman, T

dc.date.accessioned

2019-06-02T02:05:55Z

dc.date.available

2019-06-02T02:05:55Z

dc.date.issued

2019-01-01

dc.date.updated

2019-06-02T02:05:54Z

dc.description.abstract

© 2019 The Author(s). We construct infinitely many compact, smooth 4-manifolds which are homotopy equivalent to S2 but do not admit a spine (that is, a piecewise linear embedding of S2 that realizes the homotopy equivalence). This is the remaining case in the existence problem for codimension-2 spines in simply connected manifolds. The obstruction comes from the Heegaard Floer d invariants.

dc.identifier.issn

2050-5094

dc.identifier.uri

https://hdl.handle.net/10161/18625

dc.language

en

dc.publisher

Cambridge University Press (CUP)

dc.relation.ispartof

Forum of Mathematics, Sigma

dc.relation.isversionof

10.1017/fms.2019.11

dc.title

SIMPLY CONNECTED, SPINELESS 4-MANIFOLDS

dc.type

Journal article

duke.contributor.orcid

Levine, AS|0000-0002-9084-5124

pubs.organisational-group

Trinity College of Arts & Sciences

pubs.organisational-group

Duke

pubs.organisational-group

Mathematics

pubs.publication-status

Published

pubs.volume

7

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