2 papers
math.GR2026
Quasimorphisms and Poincaré duality in dimension 3
Paula Heim, William Thomas
We study groups which admit an unbounded quasimorphism to with coarsely connected quasikernel. We show that such a group must either arise as the f…
math.AT2023
Geometric realisation over aspherical groups
William Thomas
We prove that the direct sums of extensions of scalars of relation modules are geometrically realisable as the second homotopy group of a finite 2-complex. We use this to exhibit a…