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arXiv · 2009.14269

On the Bieri-Neumann-Strebel-Renz $\Sigma^1$-invariant of even Artin groups

Dessislava H. Kochloukova
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Abstract

We calculate the Bieri-Neumann-Strebel-Renz invariant $\Sigma^1(G)$ for even Artin groups $G$ with underlying graph $\Gamma$ such that if there is a closed reduced path in $\Gamma$ with all labels bigger than 2 then the length of such path is always odd. We show that $\Sigma^1(G)^c$ is a rationally defined spherical polyhedron.

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Dessislava H. Kochloukova. 2020-09-29. On the Bieri-Neumann-Strebel-Renz $\Sigma^1$-invariant of even Artin groups. https://doi.org/10.2140/pjm.2021.312.149

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