SIMPLY CONNECTED, SPINELESS 4-MANIFOLDS
Publication
, Journal Article
Levine, AS; Lidman, T
Published in: Forum of Mathematics, Sigma
January 1, 2019
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.
Duke Scholars
Published In
Forum of Mathematics, Sigma
DOI
EISSN
2050-5094
Publication Date
January 1, 2019
Related Subject Headings
- 4904 Pure mathematics
- 4901 Applied mathematics
Citation
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ICMJE
MLA
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Levine, A. S., & Lidman, T. (2019). SIMPLY CONNECTED, SPINELESS 4-MANIFOLDS. Forum of Mathematics, Sigma. https://doi.org/10.1017/fms.2019.11
Levine, A. S., and T. Lidman. “SIMPLY CONNECTED, SPINELESS 4-MANIFOLDS.” Forum of Mathematics, Sigma, January 1, 2019. https://doi.org/10.1017/fms.2019.11.
Levine AS, Lidman T. SIMPLY CONNECTED, SPINELESS 4-MANIFOLDS. Forum of Mathematics, Sigma. 2019 Jan 1;
Levine, A. S., and T. Lidman. “SIMPLY CONNECTED, SPINELESS 4-MANIFOLDS.” Forum of Mathematics, Sigma, Jan. 2019. Scopus, doi:10.1017/fms.2019.11.
Levine AS, Lidman T. SIMPLY CONNECTED, SPINELESS 4-MANIFOLDS. Forum of Mathematics, Sigma. 2019 Jan 1;
Published In
Forum of Mathematics, Sigma
DOI
EISSN
2050-5094
Publication Date
January 1, 2019
Related Subject Headings
- 4904 Pure mathematics
- 4901 Applied mathematics