Regluing graphs of free groups

Ghosh, Pritam; Mj, Mahan

doi:10.2140/agt.2022.22.1969

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Regluing graphs of free groups

Pritam Ghosh and Mahan Mj

Algebraic & Geometric Topology 22 (2022) 1969–2006

DOI: 10.2140/agt.2022.22.1969

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

Volume 22, issue 4 (2022)