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math.GT2001
Cut numbers of 3-manifolds
Adam S. Sikora
The cut number of a manifold M, c(M), is the largest number of disjoint two-sided hypersurfaces in M which do not separate M. Equivalently, it is the largest rank of a free group b…
math.GT2001★ 1 cited
Analogies between group actions on 3-manifolds and number fields
Adam S. Sikora
Mazur, Kapranov, Reznikov, and others developed ``Arithmetic Topology,'' a theory describing some surprising analogies between 3-dimensional topology and number theory, which can b…