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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Ferri–Gagliardi–Grasselli's additivity conjecture for regular genus
Let $M$ and $N$ be closed simply-connected PL $4$ -manifolds, and let $\mathcal{G}(M)$ denote the graph-defined PL invariant regular genus of $M$ . Ferri–Gagliardi–Grasselli's conjec…
Conjectureopen4-manifolds crystallization-theory regular-genusarXiv posted 2 days ago

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