CAT(0) cube complexes and asymptotically rigid mapping class groups

[en] In this article we study the asymptotically rigid mapping class groups of infinitely-punctured surfaces obtained by thickening planar trees. We present a family of CAT(0) cube complexes on which the latter groups act. Along the way, we determine in which cases the cube complexes introduced earlier by Genvois, Lonjou and Urech are CAT(0).

Disciplines :

Mathematics

Author, co-author :

ABADIE, Marie ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH)

External co-authors :

Language :

English

Title :

CAT(0) cube complexes and asymptotically rigid mapping class groups

Publication date :

03 December 2024

Journal title :

Journal of Group Theory

ISSN :

1433-5883

Publisher :

Walter de Gruyter, Germany

Volume :

Issue :

Pages :

811-833

Peer reviewed :

Peer Reviewed verified by ORBi

Funders :

FNR - Luxembourg National Research Fund

Funding number :

OPEN grant O19/13865598.

Available on ORBilu :

since 06 January 2026

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Bibliography

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