Sums of lens spaces bounding rational balls

Mathematics – Geometric Topology

Scientific paper

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20 pages, 4 figures

Scientific paper

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.

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