3 problems

Let $D_{2^{k+1}(2r+1)}$ be the indicated finite group, and let $\varrho_{t,s}$ denote its two-dimensional irreducible representations, with $1\leq t\leq 2r$ and…

The $-D(p,q)$ filling conjecture. The manifold $-D(p,q)$ admits a symplectic rational homology ball filling if and only if the filling is constructed from the cited cable construct…

Let $K$ be a hyperbolic knot in $S^3$, and let $p>0$ be an integer such that the $p$-surgery on $K$ is a spherical space form of $\mathbf{T}$-, $\mathbf{O}$-, or $\mathbf{I}$-type.…