Volume 4, issue 1 (2004)

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Large embedded balls and Heegaard genus in negative curvature

David Bachman, Daryl Cooper and Matthew E White

Algebraic & Geometric Topology 4 (2004) 31–47
Bibliography
1 M Boileau, H Zieschang, Heegaard genus of closed orientable Seifert 3–manifolds, Invent. Math. 76 (1984) 455 MR746538
2 R D Canary, A covering theorem for hyperbolic 3–manifolds and its applications, Topology 35 (1996) 751 MR1396777
3 R D Canary, Y N Minsky, On limits of tame hyperbolic 3–manifolds, J. Differential Geom. 43 (1996) 1 MR1424418
4 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
5 D Cooper, The volume of a closed hyperbolic 3–manifold is bounded by $\pi$ times the length of any presentation of its fundamental group, Proc. Amer. Math. Soc. 127 (1999) 941 MR1646313
6 A Hatcher, On triangulations of surfaces, Topology Appl. 40 (1991) 189 MR1123262
7 I Kapovich, R Weidmann, Nielsen methods and groups acting on hyperbolic spaces, Geom. Dedicata 98 (2003) 95 MR1988426
8 M Lackenby, The volume of hyperbolic alternating link complements, Proc. London Math. Soc. $(3)$ 88 (2004) 204 MR2018964
9 J T Pitts, J H Rubinstein, Applications of minimax to minimal surfaces and the topology of 3–manifolds, from: "Miniconference on geometry and partial differential equations, 2 (Canberra, 1986)", Proc. Centre Math. Anal. Austral. Nat. Univ. 12, Austral. Nat. Univ. (1987) 137 MR924434
10 A Ros, The isoperimetric and Willmore problems, from: "Global differential geometry: the mathematical legacy of Alfred Gray (Bilbao, 2000)", Contemp. Math. 288, Amer. Math. Soc. (2001) 149 MR1871006
11 A Ros, The isoperimetric problem, from: "Global theory of minimal surfaces", Clay Math. Proc. 2, Amer. Math. Soc. (2005) 175 MR2167260
12 J H Rubinstein, Minimal surfaces in geometric 3–manifolds, from: "Global theory of minimal surfaces", Clay Math. Proc. 2, Amer. Math. Soc. (2005) 725 MR2167286
13 J Schultens, Genus 2 closed hyperbolic 3–manifolds of arbitrarily large volume, from: "Proceedings of the Spring Topology and Dynamical Systems Conference (Morelia City, 2001)" (2001/02) 317 MR1967002
14 M E White, Injectivity radius and fundamental groups of hyperbolic 3–manifolds, Comm. Anal. Geom. 10 (2002) 377 MR1900756
15 M E White, A diameter bound for closed, hyperbolic 3–manifolds arXiv:math.GT/0104192