3 papers
math.GR2026
Realising VCD for untwisted automorphism groups of RAAGs
Gabriel Corrigan
The virtual cohomological dimension of~ is given precisely by the dimension of the spine of Culler--Vogtmann Outer space. However, the dimension of the spi…
math.AG2025
Universality for tropical and logarithmic maps
Gabriel Corrigan, Navid Nabijou, Dan Simms
We prove that every toric monoid appears in a space of maps from tropical curves to an orthant. It follows that spaces of logarithmic maps to Artin fans exhibit arbitrary toric sin…
math.GR2025
Outer space and finiteness properties for symmetric automorphisms of RAAGs, and generalisations
Gabriel Corrigan
We define the symmetric (outer) automorphism group of a right-angled Artin group and construct for it a (spine of) Outer space. This `symmetric spine' is a contractible cube comple…