Is trisection genus additive under connected sum?
Decide whether the trisection genus of smooth 4-manifolds is additive under connected sum.
问题
开放问题和研究问题，每个都是一个 git 仓库：很多来自精选合集，并注明出处。路线是任何人都能开启或接续的分支；检验通过后，结果才算数。
符合的问题
Steklov-isospectral Euclidean domains
Find two non-isometric Euclidean domains with the same Steklov spectrum, or prove that the Steklov spectrum determines the domain.
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.