Volume 19, issue 1 (2019)

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Distortion of surfaces in graph manifolds

G Christopher Hruska and Hoang Thanh Nguyen

Algebraic & Geometric Topology 19 (2019) 363–395
Bibliography
1 I Agol, The virtual Haken conjecture, Doc. Math. 18 (2013) 1045 MR3104553
2 D Burago, Y Burago, S Ivanov, A course in metric geometry, 33, Amer. Math. Soc. (2001) MR1835418
3 S V Buyalo, P V Svetlov, Topological and geometric properties of graph manifolds, Algebra i Analiz 16 (2004) 3 MR2068341
4 B Farb, D Margalit, A primer on mapping class groups, 49, Princeton Univ. Press (2012) MR2850125
5 S M Gersten, Quadratic divergence of geodesics in CAT(0) spaces, Geom. Funct. Anal. 4 (1994) 37 MR1254309
6 É Ghys, P de la Harpe, Quasi-isométries et quasi-géodésiques, from: "Sur les groupes hyperboliques d’après Mikhael Gromov" (editors É Ghys, P de la Harpe), Progr. Math. 83, Birkhäuser (1990) 79 MR1086653
7 M F Hagen, P Przytycki, Cocompactly cubulated graph manifolds, Israel J. Math. 207 (2015) 377 MR3358051
8 W H Jaco, P B Shalen, Seifert fibered spaces in 3–manifolds, 220, Amer. Math. Soc. (1979) MR539411
9 K Johannson, Homotopy equivalences of 3–manifolds with boundaries, 761, Springer (1979) MR551744
10 M Kapovich, B Leeb, 3–Manifold groups and nonpositive curvature, Geom. Funct. Anal. 8 (1998) 841 MR1650098
11 Y Liu, A characterization of virtually embedded subsurfaces in 3–manifolds, Trans. Amer. Math. Soc. 369 (2017) 1237 MR3572272
12 W D Neumann, Immersed and virtually embedded π1–injective surfaces in graph manifolds, Algebr. Geom. Topol. 1 (2001) 411 MR1852764
13 H T Nguyen, Distortion of surfaces in 3–manifolds, preprint (2018) arXiv:1805.01094
14 G Paulik, Gluing spaces and analysis, Dissertation, Rheinische Friedrich-Wilhelms-Universität Bonn (2005) MR2204257
15 P Przytycki, D T Wise, Graph manifolds with boundary are virtually special, J. Topol. 7 (2014) 419 MR3217626
16 P Przytycki, D T Wise, Separability of embedded surfaces in 3-manifolds, Compos. Math. 150 (2014) 1623 MR3260144
17 J H Rubinstein, S Wang, π1–injective surfaces in graph manifolds, Comment. Math. Helv. 73 (1998) 499 MR1639876
18 P Scott, Subgroups of surface groups are almost geometric, J. London Math. Soc. 17 (1978) 555 MR0494062
19 J R Stallings, Topology of finite graphs, Invent. Math. 71 (1983) 551 MR695906
20 H C Tran, Geometric embedding properties of Bestvina–Brady subgroups, Algebr. Geom. Topol. 17 (2017) 2499 MR3686403
21 S Wang, F Yu, Graph manifolds with non-empty boundary are covered by surface bundles, Math. Proc. Cambridge Philos. Soc. 122 (1997) 447 MR1466648
22 D T Wise, From riches to raags : 3–manifolds, right-angled Artin groups, and cubical geometry, 117, Amer. Math. Soc. (2012) MR2986461
23 D T Wise, The structure of groups with a quasiconvex hierarchy, preprint (2012)
24 D J Woodhouse, Classifying finite dimensional cubulations of tubular groups, Michigan Math. J. 65 (2016) 511 MR3542763