7 citations · 15 across the 9 of their papers we have counts for
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Uniform spectral gap of scl in -orbifolds
Lvzhou Chen, Nicolaus Heuer
We show a uniform spectral gap of stable commutator length for all compact hyperbolic -orbifolds relative to the peripheral subgroups. Except for the case of a sphere with three…
The spectrum of simplicial volume of non-compact manifolds
Nicolaus Heuer, Clara Loeh
We show that, in dimension at least , the set of locally finite simplicial volumes of oriented connected open manifolds is . Moreover, we consider the case of tame…
Transcendental simplicial volumes
Nicolaus Heuer, Clara Loeh
We show that there exist closed manifolds with arbitrarily small transcendental simplicial volumes. Moreover, we exhibit an explicit uncountable family of (transcendental) real num…
Simplicial volume of one-relator groups and stable commutator length
Nicolaus Heuer, Clara Loeh
A one-relator group is a group that admits a presentation with a single relation . One-relator groups form a rich classically studied class of g…
Spectral gap of scl in graphs of groups and -manifolds
Lvzhou Chen, Nicolaus Heuer
Stable commutator length scl_G(g) of an element g in a group G is an invariant for group elements sensitive to the geometry and dynamics of G. For any group G acting on a tree, we…
The spectrum of simplicial volume
Nicolaus Heuer, Clara Loeh
New constructions in group homology allow us to manufacture high-dimensional manifolds with controlled simplicial volume. We prove that for every dimension bigger than 3 the set of…
Gaps in scl for Amalgamated Free Products and RAAGs
Nicolaus Heuer
We develop a new criterion to tell if a group has the maximal gap of in stable commutator length (scl). For amalgamated free products we show that every…