3 problems

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Lutz–Sulanke–Swartz conjecture on tight-neighborly triangulations
Lutz–Sulanke–Swartz conjecture. Every tight-neighborly triangulation is $\mathbb F$ -tight.
Conjectureopencombinatorial-topology tight-triangulations triangulated-manifoldsarXiv posted 2 days ago
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Lutz–Kühnel's minimality conjecture for tight triangulations
Lutz–Kühnel minimality conjecture. Tight triangulations of $M$ minimize every entry of the $f$ -vector among all triangulations of $M$ .
Conjectureopenface-vectors tight-triangulations triangulated-manifoldsarXiv posted 2 days ago
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The Billera–Lee link conjecture for tight triangulations
Billera–Lee link conjecture. Every vertex link $\operatorname{lk}_M(v)$ has the $\tau$ -vector of its corresponding Billera–Lee sphere:
Conjectureopensimplicial-complexes tight-triangulations triangulated-manifoldsarXiv posted 2 days ago

Lutz–Sulanke–Swartz conjecture on tight-neighborly triangulations