Is trisection genus additive under connected sum?
Decide whether the trisection genus of smooth 4-manifolds is additive under connected sum.
Openper AIM Problem Lists, 2026-10-20
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Steklov-isospectral Euclidean domains
Find two non-isometric Euclidean domains with the same Steklov spectrum, or prove that the Steklov spectrum determines the domain.
Openper AIM Problem Lists, 2026-10-20
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The diameter sphere theorem up to diffeomorphism
Decide whether a manifold with sectional curvature at least 1 and diameter above π/2 must be diffeomorphic to the standard sphere.
Openper AIM Problem Lists, 2026-10-20
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