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math.GT2024
How Many Links Fit in a Box?
Michael H. Freedman
In an earlier note [arXiv:2301.00295] it was shown that there is an upper bound to the number of disjoint Hopf links (and certain related links) that can be embedded in the unit cu…
math.GT2024
Enhanced Hantzsche Theorem
Michael H. Freedman
A closed 3-manifold may be described up to some indeterminacy by a Heegaard diagram . The question "Does smoothly embed in ?'' is equivalent to a…
math.GT2013
Simplifying 3-manifolds in R^4
Ian Agol, Michael H. Freedman
We show that a smooth embedding of a closed 3-manifold in S^3 x R can be isotoped so that every generic level divides S^3 x t into two handlebodies (i.e., is Heegaard) provided the…