Geodesic
Correction to the article An infinite-rank summand of topologically slice knots
Hom, Jennifer1
1 School of Mathematics, Georgia Institute of Technology, Atlanta, GA, United States
Geometry & topology, Tome 23 (2019) no. 5, pp. 2699-2700.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We describe an error in the proof of a key proposition of our paper An infinite-rank summand of topologically slice knots (Geom. Topol. 19 (2015) 1063–1110), which was necessary for the proof of the main result. Alternative proofs of the main result are given by Ozsváth, Stipsicz and Szabó, and Dai, Hom, Stoffregen and Truong.

DOI : 10.2140/gt.2019.23.2699
Classification : 57N70, 57R58, 57M25
Keywords: knot concordance, knot Floer homology

Hom, Jennifer 1

1 School of Mathematics, Georgia Institute of Technology, Atlanta, GA, United States 
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Hom, Jennifer. Correction to the article An infinite-rank summand of topologically slice knots. Geometry & topology, Tome 23 (2019) no. 5, pp. 2699-2700. doi : 10.2140/gt.2019.23.2699. http://geodesic.mathdoc.fr/articles/10.2140/gt.2019.23.2699/

[1] A H Clifford, Note on Hahn’s theorem on ordered abelian groups, Proc. Amer. Math. Soc. 5 (1954) 860 | DOI

[2] I Dai, J Hom, M Stoffregen, L Truong, More concordance homomorphisms from knot Floer homology, preprint (2019)

[3] M Hausner, J G Wendel, Ordered vector spaces, Proc. Amer. Math. Soc. 3 (1952) 977 | DOI

[4] J Hom, An infinite-rank summand of topologically slice knots, Geom. Topol. 19 (2015) 1063 | DOI

[5] P S Ozsváth, A I Stipsicz, Z Szabó, Concordance homomorphisms from knot Floer homology, Adv. Math. 315 (2017) 366 | DOI

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