Spherical 3-manifolds bounding rational homology balls

2018/03/23 by Choe, Dong Heon, Park, Kyungbae · 1 citation
#57M25 #57M27 #57N13 #57R58 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1803.08749

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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• Complementary legs and symplectic rational balls

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