20 citations · 52 across the 16 of their papers we have counts for
6 papers · 1 filter
Free actions on surfaces that do not extend to arbitrary actions on 3-manifolds
Eric Samperton
We provide the first known example of a finite group action on an oriented surface that is free, orientation-preserving, and does not extend to an arbitrary (in particular, pos…
Coloring invariants of knots and links are often intractable
Greg Kuperberg, Eric Samperton
Let be a nonabelian, simple group with a nontrivial conjugacy class . Let be a diagram of an oriented knot in , thought of as computational input. We sh…
Computational Complexity of Enumerative 3-Manifold Invariants
Eric Samperton
Fix a finite group . We analyze the computational complexity of the problem of counting homomorphisms , where is a topological space treated as computational i…
Schur-type invariants of branched G-covers of surfaces
Eric Samperton
Fix a finite group and a conjugacy invariant subset . Let be an oriented surface, possibly with punctures. We consider the question of when two homomorphisms…
Computational complexity and 3-manifolds and zombies
Greg Kuperberg, Eric Samperton
We show the problem of counting homomorphisms from the fundamental group of a homology -sphere to a finite, non-abelian simple group is #P-complete, in the case that …
On laminar groups, Tits alternatives, and convergence group actions on
Juan Alonso, Hyungryul Baik, Eric Samperton
Following previous work of the second author, we establish more properties of groups of circle homeomorphisms which admit invariant laminations. In this paper, we focus on a certai…