3 problems

Let $\Sigma$ be a surface of genus $h$ with $n$ boundary circles, whose boundary circles are triangulated into $k_1,\ldots,k_n$ intervals. Pachner-complex conjecture. There exists…

Let $\mathsf{c}_\Delta^k$ be the BV cycle defined by the displayed construction referred to as (cDelta^n). BV-cycle nontriviality conjecture. The cycle $\mathsf{c}_\Delta^k$ is non…

Let $\Xi$ be the CW complex of the ideal model combining the flip theory and secondary polytope theory, allowing both Pachner moves on all surfaces. Let…