Geodesic
Branched covers and rational homology balls
Livingston, Charles1
1 Department of Mathematics, Indiana University, Bloomington, IN, United States
Algebraic and Geometric Topology, Tome 24 (2024) no. 1, pp. 587-594

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

The concordance group of knots in S3 contains a subgroup isomorphic to (ℤ2)∞, each element of which is represented by a knot K with the property that, for every n > 0, the n–fold cyclic cover of S3 branched over K bounds a rational homology ball. This implies that the kernel of the canonical homomorphism from the knot concordance group to the infinite direct sum of rational homology cobordism groups (defined via prime-power branched covers) contains an infinitely generated two-torsion subgroup.

DOI : 10.2140/agt.2024.24.587
Keywords: branched cover, knot, rational homology ball

Livingston, Charles 1

1 Department of Mathematics, Indiana University, Bloomington, IN, United States 
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Livingston, Charles. Branched covers and rational homology balls. Algebraic and Geometric Topology, Tome 24 (2024) no. 1, pp. 587-594. doi: 10.2140/agt.2024.24.587

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