Expanders for mean curvature flow with arbitrarily large genus asymptotic to shrinker cones provide counterexamples to Ilmanen's genus-reduction conjecture.
Angenent, David L
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Expanders for Mean Curvature Flow and Counterexamples to Ilmanen's Genus-Reduction Conjecture
Expanders for mean curvature flow with arbitrarily large genus asymptotic to shrinker cones provide counterexamples to Ilmanen's genus-reduction conjecture.