Quasi-projectivity of even Artin groups

Blasco-García, Rubén; Cogolludo-Agustín, José

doi:10.2140/gt.2018.22.3979

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Quasi-projectivity of even Artin groups

Rubén Blasco-García and José Ignacio Cogolludo-Agustín

Geometry & Topology 22 (2018) 3979–4011

DOI: 10.2140/gt.2018.22.3979

Abstract

Even Artin groups generalize right-angled Artin groups by allowing the labels in the defining graph to be even. We give a complete characterization of quasi-projective even Artin groups in terms of their defining graphs. Also, we show that quasi-projective even Artin groups are realizable by $K (π, 1)$ quasi-projective spaces.

Keywords

Artin groups, quasi-projective groups

Mathematical Subject Classification 2010

Primary: 14F45, 20F36

Secondary: 14H30, 32S50, 57M05

References

Publication

Received: 21 February 2017

Revised: 2 January 2018

Accepted: 13 March 2018

Published: 6 December 2018

Proposed: Lothar Göttsche

Seconded: Dan Abramovich, Walter Neumann

Authors

Rubén Blasco-García
Departamento de Matemáticas, IUMA Universidad de Zaragoza Zaragoza Spain

José Ignacio Cogolludo-Agustín
Departamento de Matemáticas, IUMA Universidad de Zaragoza Zaragoza Spain

Volume 22, issue 7 (2018)