4 problems

Let $M$ be a closed $3$-manifold obtained by Dehn filling a $1$-cusped $3$-manifold $N$ with a $1$-efficient ideal triangulation $\mathcal{T}$. Applying the Gang–Yonekura formula d…

Let $p,q>0$ be coprime integers with $pq eq 0\pmod{2}$, and let $\mathcal{T}{(p,q)}$ be a $1$-efficient ideal triangulation of the complement of the $(p,q)$ torus knot. The alternati…

Let $I^{\mathrm{mer}}(0,0)$ be the meromorphic 3D-index of a hyperbolic knot, let $\sigma$ range over the relevant boundary-parabolic $\operatorname{PSL}_2(\mathbbm C)$-representat…

Let $M$ be a one-cusped hyperbolic 3-manifold, let $\hat M$ be its end compactification, and let $\mathcal{X}^{\mathrm{geo}}$ be the relevant set of conjugacy classes of geometric-…