4 problems

Park's inverted Habiro-series conjecture. The balanced expansion of the homological block is expressed by an inverted Habiro series such that, when expanded as a power series in…

Let $\hat{\mathcal{Z}}$ be a homological block of a 3-manifold, and let its dual half-index be the supersymmetric partition function on $S^1\times D^2$ with appropriate boundary co…

Let $M$ be a three-manifold, let $K$ be a knot, and set $N=M\backslash K$. Let ${\cal A}^\alpha$ range over flat connections with parabolic boundary holonomy, and let…

Let $\Sigma$ be a surface and let $\varphi$ be a pseudo-Anosov map such that the mapping torus $(\Sigma\times S^1)_{\varphi}$ is hyperbolic. Let…