Geodesic
Connectivity of the Gromov Boundary of the Free Factor Complex
[Connexité de bord de Gromov du complexe des facteurs libres]
Bestvina, Mladen1 ; Chaika, Jon2 ; Hensel, Sebastian3
1 University of Utah Department of Mathematics 155 South 1400 East, JWB 233 Salt Lake City, Utah 84112-0090, USA
2 University of Utah Department of Mathematics, 203 155 South 1400 East, RM 233 Salt Lake City, Utah, 84112-0090, USA
3 Mathematisches Institut der Universität München Theresienstr. 39 D-80333 München, Germany
Annales Henri Lebesgue, Tome 6 (2023), pp. 1291-1348

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We show that in large enough rank, the Gromov boundary of the free factor complex is path connected and locally path connected.

Nous montrons que, en rang suffisamment grand, le bord de Gromov du complexe des facteurs libres est connexe par arcs et localement connexe par arcs.

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DOI : 10.5802/ahl.189
Classification : 20F65, 20F28
Keywords: free factor complex, Gromov boundary, path-connectivity

Bestvina, Mladen 1 ; Chaika, Jon 2 ; Hensel, Sebastian 3

1 University of Utah Department of Mathematics 155 South 1400 East, JWB 233 Salt Lake City, Utah 84112-0090, USA
2 University of Utah Department of Mathematics, 203 155 South 1400 East, RM 233 Salt Lake City, Utah, 84112-0090, USA
3 Mathematisches Institut der Universität München Theresienstr. 39 D-80333 München, Germany
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     author = {Bestvina, Mladen and Chaika, Jon and Hensel, Sebastian},
     title = {Connectivity of the {Gromov} {Boundary} of the {Free} {Factor} {Complex}},
     journal = {Annales Henri Lebesgue},
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Bestvina, Mladen; Chaika, Jon; Hensel, Sebastian. Connectivity of the Gromov Boundary of the Free Factor Complex. Annales Henri Lebesgue, Tome 6 (2023), pp. 1291-1348. doi: 10.5802/ahl.189

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