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

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

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 
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/
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     title = {Correction to the article {Floer} homology and splicing knot complements},
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     year = {2020},
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     url = {http://geodesic.mathdoc.fr/item/AGT_2020_20_6_a13/}
}
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