Volume 22, issue 7 (2018)

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

Volume 27
Issue 8, 2937–3385
Issue 7, 2497–2936
Issue 6, 2049–2496
Issue 5, 1657–2048
Issue 4, 1273–1655
Issue 3, 823–1272
Issue 2, 417–821
Issue 1, 1–415

Volume 26, 8 issues

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
Volumes of $\mathrm{SL}_n(\mathbb{C})$–representations of hyperbolic $3$–manifolds

Wolfgang Pitsch and Joan Porti

Geometry & Topology 22 (2018) 4067–4112
Bibliography
1 N Bergeron, E Falbel, A Guilloux, Tetrahedra of flags, volume and homology of SL(3), Geom. Topol. 18 (2014) 1911 MR3268771
2 R Bieri, B Eckmann, Relative homology and Poincaré duality for group pairs, J. Pure Appl. Algebra 13 (1978) 277 MR509165
3 A Borel, Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts, Ann. of Math. 57 (1953) 115 MR0051508
4 A Borel, N R Wallach, Continuous cohomology, discrete subgroups, and representations of reductive groups, 94, Princeton Univ. Press (1980) MR554917
5 R Bott, L W Tu, Differential forms in algebraic topology, 82, Springer (1982) MR658304
6 M Bucher, M Burger, A Iozzi, A dual interpretation of the Gromov–Thurston proof of Mostow rigidity and volume rigidity for representations of hyperbolic lattices, from: "Trends in harmonic analysis" (editor M A Picardello), Springer INdAM Ser. 3, Springer (2013) 47 MR3026348
7 M Bucher, M Burger, A Iozzi, The bounded Borel class and complex representations of 3–manifold groups, preprint (2014) arXiv:1412.3428
8 M Burger, A Iozzi, Bounded differential forms, generalized Milnor–Wood inequality and an application to deformation rigidity, Geom. Dedicata 125 (2007) 1 MR2322535
9 P Cartier, Théorie des algèbres semi-simples, from: "Séminaire Sophus Lie 1954–55", École Normale Supérieure (1955)
10 T Dimofte, M Gabella, A B Goncharov, K–decompositions and 3d gauge theories, J. High Energy Phys. (2016) MR3594814
11 J Dubois, S Garoufalidis, Rationality of the SL(2, )–Reidemeister torsion in dimension 3, Topology Proc. 47 (2016) 115 MR3355211
12 D B Fuks, Cohomology of infinite-dimensional Lie algebras, Consultants Bureau (1986) MR874337
13 S Garoufalidis, D P Thurston, C K Zickert, The complex volume of SL(n, )–representations of 3–manifolds, Duke Math. J. 164 (2015) 2099 MR3385130
14 A Goncharov, Volumes of hyperbolic manifolds and mixed Tate motives, J. Amer. Math. Soc. 12 (1999) 569 MR1649192
15 A Guilloux, Représentations et structures géométriques, habilitation, Université Pierre et Marie Curie (2015)
16 G Hochschild, G D Mostow, Cohomology of Lie groups, Illinois J. Math. 6 (1962) 367 MR0147577
17 C Hodgson, Degeneration and regeneration of geometric structures on 3–manifolds, PhD thesis, Princeton University (1986)
18 M Kapovich, J J Millson, On representation varieties of 3–manifold groups, Geom. Topol. 21 (2017) 1931 MR3654101
19 C Maclachlan, A W Reid, The arithmetic of hyperbolic 3–manifolds, 219, Springer (2003) MR1937957
20 P Menal-Ferrer, J Porti, Twisted cohomology for hyperbolic three manifolds, Osaka J. Math. 49 (2012) 741 MR2993065
21 N Monod, Continuous bounded cohomology of locally compact groups, 1758, Springer (2001) MR1840942
22 N Monod, Stabilization for SLn in bounded cohomology, from: "Discrete geometric analysis" (editors M Kotani, T Shirai, T Sunada), Contemp. Math. 347, Amer. Math. Soc. (2004) 191 MR2077038
23 W D Neumann, D Zagier, Volumes of hyperbolic three-manifolds, Topology 24 (1985) 307 MR815482
24 A Reznikov, Rationality of secondary classes, J. Differential Geom. 43 (1996) 674 MR1412681
25 C A Weibel, An introduction to homological algebra, 38, Cambridge Univ. Press (1994) MR1269324
26 A Wienhard, Remarks on and around bounded differential forms, Pure Appl. Math. Q. 8 (2012) 479 MR2900175
27 T Yoshida, The η–invariant of hyperbolic 3–manifolds, Invent. Math. 81 (1985) 473 MR807069