Volume 15, issue 1 (2015)

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Gluing equations for $\mathrm{PGL}(n,\mathbb{C})$–representations of $3$–manifolds

Stavros Garoufalidis, Matthias Goerner and Christian K Zickert

Algebraic & Geometric Topology 15 (2015) 565–622
Bibliography
1 N Bergeron, E Falbel, A Guilloux, Tetrahedra of flags, volume and homology of SL(3), arXiv:1101.2742
2 W Bosma, J Cannon, C Playoust, The Magma algebra system, I : The user language, J. Symbolic Comput. 24 (1997) 235
3 M Culler, N M Dunfield, J R Weeks, SnapPy, a computer program for studying the geometry and topology of 3–manifolds
4 T Dimofte, Quantum Riemann surfaces in Chern–Simons theory, Adv. Theor. Math. Phys. 17 (2013) 479
5 T Dimofte, D Gaiotto, S Gukov, 3–manifolds and 3d indices, Adv. Theor. Math. Phys. 17 (2013) 975
6 T Dimofte, D Gaiotto, S Gukov, Gauge theories labelled by three-manifolds, Comm. Math. Phys. 325 (2014) 367
7 T Dimofte, S Garoufalidis, The quantum content of the gluing equations, Geom. Topol. 17 (2013) 1253
8 E Falbel, A spherical CR structure on the complement of the figure eight knot with discrete holonomy, J. Differential Geom. 79 (2008) 69 MR2401419
9 E Falbel, S Garoufalidis, A Guilloux, M Görner, P V Koseleff, F Rouillier, C Zickert, CURVE Database of representations
10 E Falbel, P V Koseleff, F Rouillier, Representations of fundamental groups of 3–manifolds into PGL(3, ) : Exact computations in low complexity, arXiv:1307.6697
11 E Falbel, Q Wang, A combinatorial invariant for spherical CR structures, Asian J. Math. 17 (2013) 391
12 V Fock, A Goncharov, Moduli spaces of local systems and higher Teichmüller theory, Publ. Math. Inst. Hautes Études Sci. (2006) 1 MR2233852
13 S Francaviglia, Hyperbolic volume of representations of fundamental groups of cusped 3–manifolds, Int. Math. Res. Not. 2004 (2004) 425 MR2040346
14 S Garoufalidis, The 3D index of an ideal triangulation and angle structures, arXiv:1208.1663
15 S Garoufalidis, C D Hodgson, H Rubinstein, H Segerman, 1–efficient triangulations and the index of a cusped hyperbolic 3–manifold, arXiv:1303.5278
16 S Garoufalidis, D P Thurston, C K Zickert, The complex volume of SL(n, )–representations of 3–manifolds, arXiv:1111.2828
17 S Garoufalidis, C K Zickert, The symplectic properties of the PGL(n, )–gluing equations, arXiv:1310.2497
18 O Goodman, Snap
19 R M Kashaev, The hyperbolic volume of knots from the quantum dilogarithm, Lett. Math. Phys. 39 (1997) 269 MR1434238
20 W D Neumann, Combinatorics of triangulations and the Chern–Simons invariant for hyperbolic 3–manifolds, from: "Topology ’90" (editors B Apanasov, W D Neumann, A W Reid, L Siebenmann), Ohio State Univ. Math. Res. Inst. Publ. 1, de Gruyter (1992) 243 MR1184415
21 W D Neumann, D Zagier, Volumes of hyperbolic three-manifolds, Topology 24 (1985) 307 MR815482
22 J Porti, Torsion de Reidemeister pour les variétés hyperboliques, Amer. Math. Soc. (1997) MR1396960
23 W P Thurston, The geometry and topology of 3–manifolds, lecture notes, Princeton University (1978–1981)
24 J Weeks, SnapPea
25 C K Zickert, The volume and Chern–Simons invariant of a representation, Duke Math. J. 150 (2009) 489