Algebraic & Geometric Topology Volume 15, issue 1 (2015)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Other MSP Journals

The Ptolemy field of $3$–manifold representations

Stavros Garoufalidis, Matthias Goerner and Christian K Zickert

Algebraic & Geometric Topology 15 (2015) 371–397

DOI: 10.2140/agt.2015.15.371

Bibliography

1	W Bosma, J Cannon, C Playoust, The Magma algebra system, I : The user language, J. Symbolic Comput. 24 (1997) 235
2	D Calegari, Real places and torus bundles, Geom. Dedicata 118 (2006) 209 MR2239457
3	M Culler, N M Dunfield, J R Weeks, SnapPy : A computer program for studying the geometry and topology of 3–manifolds
4	N M Dunfield, Cyclic surgery, degrees of maps of character curves, and volume rigidity for hyperbolic manifolds, Invent. Math. 136 (1999) 623 MR1695208
5	E Falbel, S Garoufalidis, A Guilloux, M Görner, P V Koseleff, F Rouillier, C Zickert, CURVE database
6	E Falbel, P V Koseleff, F Rouillier, Representations of fundamental groups of 3–manifolds into PGL(3, ℂ) : Exact computations in low complexity, arXiv:1307.6697
7	V Fock, A Goncharov, Moduli spaces of local systems and higher Teichmüller theory, Publ. Math. Inst. Hautes Études Sci. (2006) 1 MR2233852
8	S Garoufalidis, M Goerner, C K Zickert, Gluing equations for PGL(n, ℂ)–representations of 3–manifolds, arXiv:1207.6711
9	S Garoufalidis, C D Hodgson, H Rubinstein, H Segerman, 1–efficient triangulations and the index of a cusped hyperbolic 3–manifold, arXiv:1303.5278
10	S Garoufalidis, D P Thurston, C K Zickert, The complex volume of SL(n, ℂ)–representations of 3–manifolds, arXiv:1111.2828
11	S Garoufalidis, C K Zickert, The symplectic properties of the PGL(n, ℂ)–gluing equations, arXiv:1310.2497
12	C Maclachlan, A W Reid, The arithmetic of hyperbolic 3–manifolds, 219, Springer (2003) MR1937957
13	W D Neumann, Combinatorics of triangulations and the Chern–Simons invariant for hyperbolic 3–manifolds, from: "Topology ’90", Ohio State Univ. Math. Res. Inst. Publ. 1, de Gruyter (1992) 243 MR1184415
14	C K Zickert, The volume and Chern–Simons invariant of a representation, Duke Math. J. 150 (2009) 489