Graham Niblo 2026-11-05
Graham Niblo works on geometric group theory. With Indira Chatterji, he explained a construction taking a group action on a wallspace to an action on a CAT(0) cube complex.[ref]
From wall spaces to CAT(0) cube complexes by Indira Chatterji and Graham Niblo. Original byline and abstract
Walls separate pairs of points; counting the separating walls gives a pseudometric. Consistent choices of sides become vertices of a cubical space. This transforms separation data into a geometric object on which the group acts, making combinatorial information available to nonpositive-curvature methods.[ref]
From wall spaces to CAT(0) cube complexes by Indira Chatterji and Graham Niblo. Section 1, pp. 2–3, and construction
Indira Chatterji 2026-11-05
Indira Chatterji studies geometric group theory. Her joint work with Graham Niblo develops a route from actions on a wallspace to actions on a CAT(0) cube complex.[ref]
From wall spaces to CAT(0) cube complexes by Indira Chatterji and Graham Niblo. Original byline and abstract
The distinction between a distance and a pseudometric matters here: different points can be separated by no walls. Counting walls still records enough separation information to support a cubical construction and transfer proper-action properties under the paper's hypotheses.[ref]
From wall spaces to CAT(0) cube complexes by Indira Chatterji and Graham Niblo. Section 1 and main construction