Sums of lens spaces bounding rational balls
By P. Lisca. 2007
59 citations recorded by the source corpus.
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. 57M99; 57M25
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/2ae990211cac317bb3dd48ff2fbbd705c7d27ee0
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In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- The lens space realization problem (2010, methodology): “Analogous to the Berge conjecture, Lisca’s theorem raises the following conjecture.”
- The slice-ribbon conjecture for 3-stranded pretzel knots (2007, background): “In the case when any of p, q or r equals ±1, the corresponding pretzel knot P (p, q, r) is a 2-bridge knot (see figure 2) and so Lisca’s results [11, 12] apply.”