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arXiv · 2103.09342

Geometry and combinatorics via right-angled Artin groups

Thomas Koberda
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Abstract

We survey the relationship between the combinatorics and geometry of graphs and the algebraic structure of right-angled Artin groups. We concentrate on the defining graph of the right-angled Artin group and on the extension graph associated to the right-angled Artin group. Additionally, we discuss connections to geometric group theory and complexity theory. The final version of this survey will appear in "In the tradition of Thurston, vol.~II", ed.~K.~Ohshika and A.~Papadopoulos.

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Thomas Koberda. 2021-03-16. Geometry and combinatorics via right-angled Artin groups. https://arxiv.org/abs/2103.09342

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