2 problems

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Gem-complexity bound in terms of Matveev complexity for orientable 3-manifolds
Conjecture. The gem-complexity satisfies
Conjectureopen3-manifolds crystallization-theory manifold-complexityarXiv posted 2 days ago
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Sum-stable complexity conjecture for PL manifolds
Let $M$ be a PL $n$ -manifold, let $\Delta(M)$ denote its complexity, and define its sum-stable complexity by … The limit exists by subadditivity. Sum-stable complexity conjecture.…
Conjectureopenmanifold-complexity pl-manifolds rho-invariantsarXiv posted 2 days ago

Gem-complexity bound in terms of Matveev complexity for orientable 3-manifolds