Embedding homology 3-spheres in the 4-sphere
m (moved Embedding homology three-spheres in the 4-sphere to Embedding homology 3-spheres in the 4-sphere)
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Latest revision as of 08:52, 31 August 2020
 1 Problem
Let be an integral homology -sphere, which is not . Is there a locally flat embedding such that one or both complementary regions are not simply-connected?
This problem is motivated by the problem of classifying such embeddings up to isotopy. If a complement has non-trivial fundamental group, then a `satellite' construction yields infinitely many isotopy classes of embeddings of into .
This problem was posed by Jonathan Hillman, Monday January 14th at MATRIX.