Geodesic
Correction to the article Floer homology and splicing knot complements
Eftekhary, Eaman1
1School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran
Algebraic and Geometric Topology, Tome 20 (2020) no. 6, pp. 3205-3218
Cet article a éte moissonné depuis la source Mathematical Sciences Publishers

Voir la notice de l'article

This note corrects the mistakes in the splicing formulas of the paper “Floer homology and splicing knot complements” (Algebr. Geom. Topol. 15 (2015) 3155–3213). The mistakes are the result of the incorrect assumption that for a knot K inside a homology sphere Y , the involution on HFK̂(K) which corresponds to moving the basepoints by one full twist around K is trivial. The correction implicitly involves considering the contribution from this (possibly nontrivial) involution in a number of places.

Classification : 57M27, 57R58
Keywords: Floer homology, splicing, essential torus

Eftekhary, Eaman  1

1 School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran 
@article{AGT_2020_20_6_a13,
     author = {Eftekhary, Eaman},
     title = {Correction to the article {Floer} homology and splicing knot complements},
     journal = {Algebraic and Geometric Topology},
     pages = {3205--3218},
     year = {2020},
     volume = {20},
     number = {6},
     url = {http://geodesic.mathdoc.fr/item/AGT_2020_20_6_a13/}
}
TY  - JOUR
AU  - Eftekhary, Eaman
TI  - Correction to the article Floer homology and splicing knot complements
JO  - Algebraic and Geometric Topology
PY  - 2020
SP  - 3205
EP  - 3218
VL  - 20
IS  - 6
UR  - http://geodesic.mathdoc.fr/item/AGT_2020_20_6_a13/
ID  - AGT_2020_20_6_a13
ER  - 
%0 Journal Article
%A Eftekhary, Eaman
%T Correction to the article Floer homology and splicing knot complements
%J Algebraic and Geometric Topology
%D 2020
%P 3205-3218
%V 20
%N 6
%U http://geodesic.mathdoc.fr/item/AGT_2020_20_6_a13/
%F AGT_2020_20_6_a13
Eftekhary, Eaman. Correction to the article Floer homology and splicing knot complements. Algebraic and Geometric Topology, Tome 20 (2020) no. 6, pp. 3205-3218. http://geodesic.mathdoc.fr/item/AGT_2020_20_6_a13/

[1] E Eftekhary, Floer homology and splicing knot complements, Algebr. Geom. Topol. 15 (2015) 3155 | DOI

[2] E Eftekhary, Bordered Floer homology and existence of incompressible tori in homology spheres, Compos. Math. 154 (2018) 1222 | DOI

[3] M Hedden, A S Levine, Splicing knot complements and bordered Floer homology, J. Reine Angew. Math. 720 (2016) 129 | DOI

[4] K Hendricks, C Manolescu, Involutive Heegaard Floer homology, Duke Math. J. 166 (2017) 1211 | DOI

[5] R Lipshitz, P S Ozsváth, D P Thurston, Notes on bordered Floer homology, from: "Contact and symplectic topology" (editors F Bourgeois, V Colin, A Stipsicz), Bolyai Soc. Math. Stud. 26, János Bolyai Math. Soc. (2014) 275 | DOI

[6] R Lipshitz, P S Ozsváth, D P Thurston, Bordered Heegaard Floer homology, 1216, Amer. Math. Soc. (2018) | DOI

[7] S Sarkar, Moving basepoints and the induced automorphisms of link Floer homology, Algebr. Geom. Topol. 15 (2015) 2479 | DOI