Volume 11, issue 4 (2011)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 24
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
Simplicial volume and fillings of hyperbolic manifolds

Koji Fujiwara and Jason Fox Manning

Algebraic & Geometric Topology 11 (2011) 2237–2264
Bibliography
1 M T Anderson, Dehn filling and Einstein metrics in higher dimensions, J. Differential Geom. 73 (2006) 219 MR2225518
2 L Babai, On Lovász' lattice reduction and the nearest lattice point problem, Combinatorica 6 (1986) 1 MR856638
3 I Belegradek, Aspherical manifolds, relative hyperbolicity, simplicial volume and assembly maps, Algebr. Geom. Topol. 6 (2006) 1341 MR2253450
4 R Benedetti, C Petronio, Lectures on hyperbolic geometry, Universitext, Springer (1992) MR1219310
5 S A Bleiler, C D Hodgson, Spherical space forms and Dehn filling, Topology 35 (1996) 809 MR1396779
6 S Francaviglia, Hyperbolic volume of representations of fundamental groups of cusped 3–manifolds, Int. Math. Res. Not. (2004) 425 MR2040346
7 R Frigerio, C Pagliantini, The simplicial volume of hyperbolic manifolds with geodesic boundary, Algebr. Geom. Topol. 10 (2010) 979 MR2629772
8 K Fujiwara, J F Manning, $\mathrm{CAT(0)}$ and $\mathrm{CAT}(-1)$ fillings of hyperbolic manifolds, J. Differential Geom. 85 (2010) 229 MR2732977
9 D Futer, E Kalfagianni, J S Purcell, Dehn filling, volume, and the Jones polynomial, J. Differential Geom. 78 (2008) 429 MR2396249
10 M Gromov, Manifolds of negative curvature, J. Differential Geom. 13 (1978) 223 MR540941
11 M Gromov, Volume and bounded cohomology, Inst. Hautes Études Sci. Publ. Math. (1982) MR686042
12 M Gromov, Hyperbolic groups, from: "Essays in group theory", Math. Sci. Res. Inst. Publ. 8, Springer (1987) 75 MR919829
13 M Gromov, W Thurston, Pinching constants for hyperbolic manifolds, Invent. Math. 89 (1987) 1 MR892185
14 D Groves, J F Manning, Dehn filling in relatively hyperbolic groups, Israel J. Math. 168 (2008) 317 MR2448064
15 S K Hansen, Measure homology, Math. Scand. 83 (1998) 205 MR1673914
16 C D Hodgson, S P Kerckhoff, Universal bounds for hyperbolic Dehn surgery, Ann. of Math. $(2)$ 162 (2005) 367 MR2178964
17 G C Hruska, B Kleiner, Hadamard spaces with isolated flats, Geom. Topol. 9 (2005) 1501 MR2175151
18 D Ivanšić, Hyperbolic structure on a complement of tori in the 4–sphere, Adv. Geom. 4 (2004) 119 MR2155369
19 A K Lenstra, H W Lenstra Jr., L Lovász, Factoring polynomials with rational coefficients, Math. Ann. 261 (1982) 515 MR682664
20 C Löh, Measure homology and singular homology are isometrically isomorphic, Math. Z. 253 (2006) 197 MR2206643
21 I Mineyev, Bounded cohomology characterizes hyperbolic groups, Q. J. Math. 53 (2002) 59 MR1887670
22 I Mineyev, A Yaman, Relative hyperbolicity and bounded cohomology, preprint
23 L Mosher, M Sageev, Nonmanifold hyperbolic groups of high cohomological dimension, preprint (1997)
24 A Nabutovsky, S Weinberger, Variational problems for Riemannian functionals and arithmetic groups, Inst. Hautes Études Sci. Publ. Math. (2000) MR1839486
25 W D Neumann, D Zagier, Volumes of hyperbolic three-manifolds, Topology 24 (1985) 307 MR815482
26 J G Ratcliffe, Foundations of hyperbolic manifolds, Graduate Texts in Mathematics 149, Springer (1994) MR1299730
27 J G Ratcliffe, S T Tschantz, Some examples of aspherical 4–manifolds that are homology 4–spheres, Topology 44 (2005) 341 MR2114711
28 V Schroeder, A cusp closing theorem, Proc. Amer. Math. Soc. 106 (1989) 797 MR957267
29 W P Thurston, Geometry and Topology of Three-Manifolds, lecture notes, Princeton (1980)
30 H C Wang, Topics on totally discontinuous groups, from: "Symmetric spaces (Short Courses, Washington Univ., St. Louis, Mo., 1969–1970)", Dekker (1972) MR0414787
31 T Yamaguchi, Simplicial volumes of Alexandrov spaces, Kyushu J. Math. 51 (1997) 273 MR1470157
32 A Zastrow, On the (non)-coincidence of Milnor–Thurston homology theory with singular homology theory, Pacific J. Math. 186 (1998) 369 MR1663826