7 citations · 15 across the 9 of their papers we have counts for
6 papers · 1 filter
Quasi-BNS invariants
Nicolaus Heuer, Dawid Kielak
We introduce the notion of quasi-BNS invariants, where we replace homomorphism to by homogenous quasimorphisms to in the theory of Bieri-Neumann-Strebel inv…
Stable commutator length in right-angled Artin and Coxeter groups
Lvzhou Chen, Nicolaus Heuer
We establish a spectral gap for stable commutator length (scl) of integral chains in right-angled Artin groups (RAAGs). We show that this gap is not uniform, i.e. there are RAAGs a…
Computing commutator length is hard
Nicolaus Heuer
The commutator length of an element in the commutator subgroup of a group is the least number of commutators needed to express as their product. If…
The full spectrum of scl on recursively presented groups
Nicolaus Heuer
We show that the set of stable commutator lengths on recursively presented groups equals the set of non-negative right-computable numbers. Hence all non-negative algebra…
Cup Product in Bounded Cohomology of the Free Group
Nicolaus Heuer
The theory of bounded cohomology of groups has many applications. A key open problem is to compute the full bounded cohomology of a non-abelian free group with tr…
Low-dimensional bounded cohomology and extensions of groups
Nicolaus Heuer
Bounded cohomology of groups was first studied by Gromov in 1982. Since then it has sparked much research in Geometric Group Theory. However, it is notoriously hard to explicitly c…