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math.GT2026
The recognition problem for 4-manifolds and the unknotting problem for 2-spheres in 4-manifolds
Cameron Gordon
We show that there is no algorithm to decide whether or not a given 4-manifold is PL homeomorphic to the connected sum of 7 copies of S 2 x S 2 . We also show that the TOP and PL u…
math.GT2026
Toroidal 3-manifolds have circularly orderable fundamental groups
Steven Boyer, Cameron McA. Gordon, Ying Hu
In this article we prove that toroidal 3-manifolds have circularly-orderable fundamental groups by showing that they admit finite cyclic covers with left-orderable fundamental grou…