Higher-dimensional spherical links have Milnor invariants that grow at most polynomially with 1/thickness when a 1-dimensional component is present, and exponentially otherwise; both rates are asymptotically sharp, and a Freedman-Krushkal question is resolved.
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Milnor invariants and thickness of spherical links
Higher-dimensional spherical links have Milnor invariants that grow at most polynomially with 1/thickness when a 1-dimensional component is present, and exponentially otherwise; both rates are asymptotically sharp, and a Freedman-Krushkal question is resolved.