Spherical 3-manifolds bounding rational homology balls
Dong Heon Choe, Kyungbae Park

TL;DR
This paper classifies spherical 3-manifolds that bound rational homology 4-balls and determines their order in the cobordism group, using Donaldson's theorem and Heegaard Floer invariants.
Contribution
It provides a complete classification of spherical 3-manifolds bounding rational homology balls and computes their order in the cobordism group, advancing understanding of 3- and 4-manifold relations.
Findings
Complete classification of spherical 3-manifolds bounding rational homology 4-balls
Determination of the order of these manifolds in the cobordism group
Application of Donaldson's theorem and Heegaard Floer correction terms
Abstract
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.
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