We give a complete classification of the spherical 3-manifolds that bound smooth rational homology 4-balls. Furthermore, we determine the order of spherical 3-manifolds in the rational homology cobordism group of rational homology 3-spheres. To this end, we use constraints for 3-manifolds to bound rational homology balls induced from Donaldson’s diagonalization theorem and Heegaard Floer correction terms.
"Spherical 3-Manifolds Bounding Rational Homology Balls." Michigan Math. J. 70 (2) 227 - 261, May 2021. https://doi.org/10.1307/mmj/1599789614