Sums of lens spaces bounding rational balls
arXiv:0705.1950 · doi:10.2140/agt.2007.7.2141
Abstract
We classify connected sums of three-dimensional lens spaces which smoothly bound rational homology balls. We use this result to determine the order of each lens space in the group of rational homology 3-spheres up to rational homology cobordisms, and to determine the concordance order of each 2-bridge knot.
20 pages, 4 figures
References in corpus (1)
Cited by in corpus (18)
- Concordance groups of links
- Knot concordance and Heegaard Floer homology invariants in branched covers
- On the slice-ribbon conjecture for pretzel knots
- Dehn surgeries and rational homology balls
- Embeddings of 3-manifolds in S^4 from the point of view of the 11-tetrahedron census
- Non-splittability of the rational homology cobordism group of 3-manifolds
- Rational homology cobordisms of plumbed 3-manifolds
- A survey of the homology cobordism group
- Rational cobordisms and integral homology
- The concordance genus of a knot, II
- On Seifert fibered spaces bounding definite manifolds
- Von Neumann rho invariants and torsion in the topological knot concordance group
- Classification of torus bundles that bound rational homology circles
- Ribbon cobordisms between lens spaces
- Linear independence in the rational homology cobordism group
- Cobordism distance on the projective space of the knot concordance group
- Fourier transforms and integer homology cobordism
- A lower bound on the stable 4-genus of knots