2024/02/29 by Golla, Marco, Marengon, Marco
#57K18 (Secondary) #57K45 (Primary) #FOS: Mathematics #Geometric Topology (math.GT)
paper · doi:10.48550/arxiv.2403.00064
For every n ≥ 3, we construct 2-component links in Sn+1 that are a split by an integer homology n-sphere, but not by Sn. In the special case n=3, i.e. that of 2-links in S4, we produce an infinite family of links L_ℓ and of integer homology spheres Y_ℓ such that the link L_ℓ is (topologically or smoothly) split by Y_ℓ and by no other integer homology sphere in the family.