Sums of lens spaces bounding rational balls

Paolo Lisca

doi:10.2140/agt.2007.7.2141

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Home > Journals > Algebr. Geom. Topol. > Volume 7 > Issue 4 > Article

2007 Sums of lens spaces bounding rational balls

Paolo Lisca

Algebr. Geom. Topol. 7(4): 2141-2164 (2007). DOI: 10.2140/agt.2007.7.2141

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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.