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Regluing graphs of free groups

Pritam Ghosh and Mahan Mj

Algebraic & Geometric Topology 22 (2022) 1969–2006
Abstract

Answering a question due to Min, we prove that a finite graph of roses admits a regluing such that the resulting graph of roses has hyperbolic fundamental group.

Keywords
$\mathsf{Out}(\mathbb{F})$, hyperbolic automorphism, independence of automorphisms, homogeneous graph of spaces
Mathematical Subject Classification
Primary: 20F65, 20F67
References
Publication
Received: 8 November 2020
Revised: 1 June 2021
Accepted: 15 July 2021
Published: 10 October 2022
Authors
Pritam Ghosh
Department of Mathematics
Ashoka University
Sonipat
India
Mahan Mj
School of Mathematics
Tata Institute of Fundamental Research
Mumbai
India
http://www.math.tifr.res.in/~mahan