The present paper contributes to the study of asymptotically rigid mapping class groups of infinitely punctured surfaces obtained by thickening planar trees. In a paper from 2022, Genevois, Lonjou and Urech study the latter groups using cube complexes. We determine in which cases their cube complexes are CAT(0) From this study, we develop a family of CAT(0) cubes complexes on which the asymptotically rigid mapping class groups act.
机构:
Tohoku Univ, Grad Sch Informat Sci, Aoba Ku, Sendai, Miyagi 9808579, JapanTohoku Univ, Grad Sch Informat Sci, Aoba Ku, Sendai, Miyagi 9808579, Japan
Fujiwara, Koji
Toyoda, Tetsu
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机构:
Nagoya Univ, Grad Sch Math, Chikusa Ku, Nagoya, Aichi 4648602, JapanTohoku Univ, Grad Sch Informat Sci, Aoba Ku, Sendai, Miyagi 9808579, Japan