Volume 24, issue 5 (2020)

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

Volume 26
Issue 7, 2855–3306
Issue 6, 2405–2853
Issue 5, 1907–2404
Issue 4, 1435–1905
Issue 3, 937–1434
Issue 2, 477–936
Issue 1, 1–476

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Interests
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Author Index
To Appear
 
Other MSP Journals
Compact hyperbolic manifolds without spin structures

Bruno Martelli, Stefano Riolo and Leone Slavich

Geometry & Topology 24 (2020) 2647–2674
Bibliography
1 L Auslander, R H Szczarba, Characteristic classes of compact solvmanifolds, Ann. of Math. 76 (1962) 1 MR141136
2 R Benedetti, P Lisca, Framing 3–manifolds with bare hands, Enseign. Math. 64 (2018) 395 MR3987151
3 N Bergeron, F Haglund, D T Wise, Hyperplane sections in arithmetic hyperbolic manifolds, J. Lond. Math. Soc. 83 (2011) 431 MR2776645
4 N Bergeron, J Millson, C Moeglin, Hodge type theorems for arithmetic hyperbolic manifolds, from: "Geometry, analysis and probability" (editors J B Bost, H Hofer, F Labourie, Y Le Jan, X Ma), Progr. Math. 310, Birkhäuser (2017) 47 MR3821921
5 B H Bowditch, G Mess, A 4–dimensional Kleinian group, Trans. Amer. Math. Soc. 344 (1994) 391 MR1240944
6 V O Bugaenko, Groups of automorphisms of unimodular hyperbolic quadratic forms over the ring [(√5- + 1)2], Vestnik Moskov. Univ. Ser. I Mat. Mekh. 1984 (1984) 6 MR764026
7 S E Cappell, J L Shaneson, Embeddings and immersions of four-dimensional manifolds in 6, from: "Geometric topology" (editor J C Cantrell), Academic (1979) 301 MR537736
8 M W Davis, A hyperbolic 4–manifold, Proc. Amer. Math. Soc. 93 (1985) 325 MR770546
9 P Deligne, D Sullivan, Fibrés vectoriels complexes à groupe structural discret, C. R. Acad. Sci. Paris Sér. A-B 281 (1975) 1081 MR397729
10 D B A Epstein, C Petronio, An exposition of Poincaré’s polyhedron theorem, Enseign. Math. 40 (1994) 113 MR1279064
11 M Gromov, H B Lawson Jr., W Thurston, Hyperbolic 4–manifolds and conformally flat 3–manifolds, Inst. Hautes Études Sci. Publ. Math. 68 (1988) 27 MR1001446
12 A Haefliger, Sur l’extension du groupe structural d’une espace fibré, C. R. Acad. Sci. Paris 243 (1956) 558 MR84775
13 M Kapovich, L Potyagailo, È Vinberg, Noncoherence of some lattices in Isom(n), from: "The Zieschang Gedenkschrift" (editors M Boileau, M Scharlemann, R Weidmann), Geom. Topol. Monogr. 14, Geom. Topol. (2008) 335 MR2484708
14 A Kolpakov, B Martelli, S Tschantz, Some hyperbolic three-manifolds that bound geometrically, Proc. Amer. Math. Soc. 143 (2015) 4103 MR3359598
15 A Kolpakov, A W Reid, L Slavich, Embedding arithmetic hyperbolic manifolds, Math. Res. Lett. 25 (2018) 1305 MR3882165
16 N H Kuiper, Hyperbolic 4–manifolds and tesselations, Inst. Hautes Études Sci. Publ. Math. 68 (1988) 47 MR1001447
17 D D Long, A W Reid, Virtually spinning hyperbolic manifolds, Proc. Edinb. Math. Soc. 63 (2020) 305 MR4089376
18 J Ma, F Zheng, Orientable hyperbolic 4–manifolds over the 120–cell, preprint (2018) arXiv:1801.08814
19 B Martelli, Hyperbolic three-manifolds that embed geodesically, preprint (2015) arXiv:1510.06325
20 B Martelli, Hyperbolic four-manifolds, from: "Handbook of group actions, III" (editors L Ji, A Papadopoulos, S T Yau), Adv. Lect. Math. 40, International (2018) 37 MR3888615
21 D W Morris, Introduction to arithmetic groups, Deductive (2015) MR3307755
22 D Panov, A Petrunin, Telescopic actions, Geom. Funct. Anal. 22 (2012) 1814 MR3000502
23 J G Ratcliffe, D Ruberman, S T Tschantz, Harmonic spinors on the Davis hyperbolic 4–manifold, J. Topol. Anal. (2019)
24 J G Ratcliffe, S T Tschantz, On the Davis hyperbolic 4–manifold, Topology Appl. 111 (2001) 327 MR1814232
25 A Scorpan, The wild world of 4–manifolds, Amer. Math. Soc. (2005) MR2136212
26 D Sullivan, Hyperbolic geometry and homeomorphisms, from: "Geometric topology" (editor J C Cantrell), Academic (1979) 543 MR537749
27 È B Vinberg, O V Shvartsman, Discrete groups of motions of spaces of constant curvature, from: "Geometry, II" (editor È Vinberg), Encycl. Math. Sci. 29, Springer (1993) 139 MR1254933