Geodesic
Cocompact cubulations of mixed 3-manifolds
Joseph Tidmore1
1University of Wisconsin-Milwaukee, USA
Groups, geometry, and dynamics, Tome 12 (2018) no. 4, pp. 1429-1460

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DOI

In this paper, we complete the classification of which compact 3-manifolds have a virtually compact special fundamental group by addressing the case of mixed 3-manifolds. A compact aspherical 3-manifold M is mixed if its JSJ decomposition has at least one JSJ torus and at least one hyperbolic block. We show π1​M is virtually compact special if and only if M is chargeless, i.e. each interior Seifert fibered block has a trivial Euler number relative to the fibers of adjacent blocks.
DOI : 10.4171/ggd/474
Classification : 20-XX, 57-XX
Mots-clés : Compact special groups, mixed manifold

Joseph Tidmore  1

1 University of Wisconsin-Milwaukee, USA 
Joseph Tidmore. Cocompact cubulations of mixed 3-manifolds. Groups, geometry, and dynamics, Tome 12 (2018) no. 4, pp. 1429-1460. doi: 10.4171/ggd/474
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     author = {Joseph Tidmore},
     title = {Cocompact cubulations of mixed 3-manifolds},
     journal = {Groups, geometry, and dynamics},
     pages = {1429--1460},
     year = {2018},
     volume = {12},
     number = {4},
     doi = {10.4171/ggd/474},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/474/}
}
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