#### Volume 9, issue 4 (2005)

 1 D Bachman, D Cooper, M E White, Large embedded balls and Heegaard genus in negative curvature, Algebr. Geom. Topol. 4 (2004) 31 MR2031911 2 R L Bishop, B O’Neill, Manifolds of negative curvature, Trans. Amer. Math. Soc. 145 (1969) 1 MR0251664 3 M R Bridson, A Haefliger, Metric spaces of non-positive curvature, Grundlehren der Mathematischen Wissenschaften, Springer (1999) MR1744486 4 J Choe, The isoperimetric inequality for minimal surfaces in a Riemannian manifold, J. Reine Angew. Math. 506 (1999) 205 MR1665701 5 T H Colding, C De Lellis, The min-max construction of minimal surfaces, from: "Surveys in differential geometry, Vol. VIII (Boston, MA, 2002)", Surv. Differ. Geom., VIII, Int. Press, Somerville, MA (2003) 75 MR2039986 6 M Freedman, J Hass, P Scott, Least area incompressible surfaces in 3–manifolds, Invent. Math. 71 (1983) 609 MR695910 7 D Gabai, Foliations and the topology of 3–manifolds, J. Differential Geom. 18 (1983) 445 MR723813 8 A Hatcher, On triangulations of surfaces, Topology Appl. 40 (1991) 189 MR1123262 9 A Hatcher, Algebraic topology, Cambridge University Press (2002) MR1867354 10 J Hempel, 3–Manifolds, Ann. of Math. Studies 86, Princeton University Press (1976) MR0415619 11 M Lackenby, Heegaard splittings, the virtually Haken conjecture and property $(\tau)$, Invent. Math. 164 (2006) 317 MR2218779 12 M Lackenby, The asymptotic behaviour of Heegaard genus, Math. Res. Lett. 11 (2004) 139 MR2067463 13 A Lubotzky, Discrete groups, expanding graphs and invariant measures, Progress in Mathematics 125, Birkhäuser Verlag (1994) MR1308046 14 J Maher, J H Rubinstein, Period three actions on the three-sphere, Geom. Topol. 7 (2003) 329 MR1988290 15 J T Pitts, J H Rubinstein, Existence of minimal surfaces of bounded topological type in three-manifolds, from: "Miniconference on geometry and partial differential equations (Canberra, 1985)", Proc. Centre Math. Anal. Austral. Nat. Univ. 10, Austral. Nat. Univ. (1986) 163 MR857665 16 M Scharlemann, A Thompson, Thin position for 3–manifolds, from: "Geometric topology (Haifa, 1992)", Contemp. Math. 164, Amer. Math. Soc. (1994) 231 MR1282766 17 M Scharlemann, A Thompson, Heegaard splittings of $(\mathrm{surface}){\times}I$ are standard, Math. Ann. 295 (1993) 549 MR1204837 18 F Waldhausen, On irreducible 3–manifolds which are sufficiently large, Ann. of Math. $(2)$ 87 (1968) 56 MR0224099