NONSURJECTIVE SATELLITE OPERATORS and PIECEWISE-LINEAR CONCORDANCE
Publication
, Journal Article
Levine, AS
Published in: Forum of Mathematics, Sigma
January 1, 2016
We exhibit a knot P in the solid torus, representing a generator of first homology, such that for any knot K in the 3-sphere, the satellite knot with pattern P and companion K is not smoothly slice in any homology 4-ball. As a consequence, we obtain a knot in a homology 3-sphere that does not bound a piecewise-linear disk in any homology 4-ball.
Duke Scholars
Published In
Forum of Mathematics, Sigma
DOI
EISSN
2050-5094
Publication Date
January 1, 2016
Volume
4
Related Subject Headings
- 4904 Pure mathematics
- 4901 Applied mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Levine, A. S. (2016). NONSURJECTIVE SATELLITE OPERATORS and PIECEWISE-LINEAR CONCORDANCE. Forum of Mathematics, Sigma, 4. https://doi.org/10.1017/fms.2016.31
Levine, A. S. “NONSURJECTIVE SATELLITE OPERATORS and PIECEWISE-LINEAR CONCORDANCE.” Forum of Mathematics, Sigma 4 (January 1, 2016). https://doi.org/10.1017/fms.2016.31.
Levine AS. NONSURJECTIVE SATELLITE OPERATORS and PIECEWISE-LINEAR CONCORDANCE. Forum of Mathematics, Sigma. 2016 Jan 1;4.
Levine, A. S. “NONSURJECTIVE SATELLITE OPERATORS and PIECEWISE-LINEAR CONCORDANCE.” Forum of Mathematics, Sigma, vol. 4, Jan. 2016. Scopus, doi:10.1017/fms.2016.31.
Levine AS. NONSURJECTIVE SATELLITE OPERATORS and PIECEWISE-LINEAR CONCORDANCE. Forum of Mathematics, Sigma. 2016 Jan 1;4.
Published In
Forum of Mathematics, Sigma
DOI
EISSN
2050-5094
Publication Date
January 1, 2016
Volume
4
Related Subject Headings
- 4904 Pure mathematics
- 4901 Applied mathematics