Connected components of Morse boundaries of graphs of groups

Fioravanti, Elia; Karrer, Annette

doi:10.2140/pjm.2022.317.339

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

Connected components of Morse boundaries of graphs of groups

MPS-Authors

/persons/resource/persons262576

Fioravanti, Elia
Max Planck Institute for Mathematics, Max Planck Society;

External Resource

https://doi.org/10.2140/pjm.2022.317.339
(Publisher version)

https://doi.org/10.48550/arXiv.2109.12064
(Preprint)

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

Fioravanti-Karrer_Connected components of Morse boundaries of graphs of groups_2022.pdf
(Publisher version), 303KB

Supplementary Material (public)

There is no public supplementary material available

Citation

Fioravanti, E., & Karrer, A. (2022). Connected components of Morse boundaries of graphs of groups. Pacific Journal of Mathematics, 317(2), 339-361. doi:10.2140/pjm.2022.317.339.

Cite as: https://hdl.handle.net/21.11116/0000-000A-D660-8

Abstract

Let a finitely generated group $G$ split as a graph of groups. If edge groups
are undistorted and do not contribute to the Morse boundary $\partial_MG$, we
show that every connected component of $\partial_MG$ with at least two points
originates from the Morse boundary of a vertex group. Under stronger
assumptions on the edge groups (such as wideness in the sense of
Dru\c{t}u-Sapir), we show that Morse boundaries of vertex groups are
topologically embedded in $\partial_MG$.