6 problems

For an oriented compact three-manifold $X$, let $G$ be a semisimple, simply connected Lie group, and let $\mathcal{Z}_G^{(K)}(X)$ denote the Reshetikhin–Turaev TQFT invariant at le…

Let $M$ be a closed oriented $3$-manifold and let $\mathcal{L}$ be a framed hyperbolic link with $n$ components in $M$. For an odd integer $r=2N+1$ with $N\geq 1$, let…

Let $M$ be a closed oriented $3$-manifold and let $L$ be a framed hyperbolic link in $M$ with $n$ components. Let $\mathbf m^{(r)}=(m_1^{(r)},\dots,m_n^{(r)})$ be colorings by elem…

Let $M$ be a closed oriented $3$-manifold and let $L$ be a framed hyperbolic link in $M$ with $n$ components. For odd integers $r\geq 3$, let $\mathbf m=(m_1,\dots,m_n)$ and let…

Let ${\mathfrak g}$ be as in Section 2, let $k\in\mathbb{N}$ satisfy $k>c_{\mathfrak g}$, and let $L$ be a colored simplicial ribbon link in $S^2\times S^1$ as in Theorem 1 or Theo…

Let $\mathcal{C}$ be a spherical fusion category over an algebraically closed field $\Bbbk$ with invertible dimension, and let $\mathcal{Z}(\mathcal{C})$ denote its center. For a…