3 papers
math.GT2026
A survey on mapping class groups of 3-manifolds
Philipp Bader, Rachael Boyd, Giulia Carfora +8
We survey computations and tools concerning the mapping class group of a compact, oriented, connected 3-manifold . We provide a guide to the literature and sketch proofs for var…
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…
math.GR2025
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…