3 problems

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Local-to-global rigidity conjecture for the pants complex
Local-to-global rigidity conjecture. The pants complex exhibits local-to-global rigidity: local combinatorial data determine the corresponding global structure, in the sense that l…
Conjectureopencurve-complexes mapping-class-groups pants-complexesarXiv posted 2 days ago
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The pants invariant conjecture for connected sums of $S^2\times S^2$
Connected-sum pants-invariant conjecture. The $\mathcal{L}^*_3$ -invariant of $Y_m$ is equal to $9m$ .
Conjectureopen4-manifolds pants-complexes trisectionsarXiv posted 2 days ago
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The spun-lens-space conjecture for the trisection pants invariant
Spun-lens-space conjecture. The $\mathcal{L}^*_3$ -invariant of spun lens spaces is equal to $18$ .
Conjectureopen4-manifolds pants-complexes trisectionsarXiv posted 2 days ago

Local-to-global rigidity conjecture for the pants complex