Algebraic & Geometric Topology Volume 5, issue 3 (2005)

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Deformations of reducible representations of 3–manifold groups into $\mathrm{PSL}_2(\mathbb{C})$

Michael Heusener and Joan Porti

Algebraic & Geometric Topology 5 (2005) 965–997

DOI: 10.2140/agt.2005.5.965

Bibliography

1	M Artin, On the solutions of analytic equations, Invent. Math. 5 (1968) 277 MR0232018
2	L Ben Abdelghani, Espace des représentations du groupe d'un n\oeud dans un groupe de Lie, thesis, Université de Bourgogne (1998)
3	L Ben Abdelghani, Espace des représentations du groupe d'un n\oe ud classique dans un groupe de Lie, Ann. Inst. Fourier (Grenoble) 50 (2000) 1297 MR1799747
4	L Ben Abdelghani, Variété des caractères et slice étale de l'espace des représentations d'un groupe, Ann. Fac. Sci. Toulouse Math. $(6)$ 11 (2002) 19 MR1986380
5	L B Abdelghani, D Lines, Involutions on knot groups and varieties of representations in a Lie group, J. Knot Theory Ramifications 11 (2002) 81 MR1885749
6	R C Blanchfield, Intersection theory of manifolds with operators with applications to knot theory, Ann. of Math. $(2)$ 65 (1957) 340 MR0085512
7	K S Brown, Cohomology of groups, Graduate Texts in Mathematics 87, Springer (1982) MR672956
8	G Burde, H Zieschang, Knots, de Gruyter Studies in Mathematics 5, Walter de Gruyter & Co. (2003) MR1959408
9	C D Frohman, E P Klassen, Deforming representations of knot groups in $\mathrm{SU}(2)$, Comment. Math. Helv. 66 (1991) 340 MR1120651
10	C M Gordon, Some aspects of classical knot theory, from: "Knot theory (Proc. Sem., Plans-sur–Bex, 1977)", Lecture Notes in Math. 685, Springer (1978) 1 MR521730
11	C M Herald, Existence of irreducible representations for knot complements with nonconstant equivariant signature, Math. Ann. 309 (1997) 21 MR1467643
12	M Heusener, J Kroll, Deforming abelian $\mathrm{SU}(2)$–representations of knot groups, Comment. Math. Helv. 73 (1998) 480 MR1633375
13	M Heusener, J Porti, The variety of characters in $\mathrm{PSL}_2(\mathbb C)$, Bol. Soc. Mat. Mexicana $(3)$ 10 (2004) 221 MR2199350
14	M Heusener, J Porti, E Suárez Peiró, Deformations of reducible representations of 3–manifold groups into $\mathrm{SL}_2(\mathbb{C})$, J. Reine Angew. Math. 530 (2001) 191 MR1807271
15	M Kapovich, Hyperbolic manifolds and discrete groups, Progress in Mathematics 183, Birkhäuser (2001) MR1792613
16	A Kawauchi, A survey of knot theory, Birkhäuser Verlag (1996) MR1417494
17	J Levine, Knot modules I, Trans. Amer. Math. Soc. 229 (1977) 1 MR0461518
18	A Lubotzky, A R Magid, Varieties of representations of finitely generated groups, Mem. Amer. Math. Soc. 58 (1985) MR818915
19	J Milnor, A duality theorem for Reidemeister torsion, Ann. of Math. $(2)$ 76 (1962) 137 MR0141115
20	J W Morgan, P B Shalen, Valuations, trees, and degenerations of hyperbolic structures. I, Ann. of Math. $(2)$ 120 (1984) 401 MR769158
21	M S Raghunathan, Discrete subgroups of Lie groups, Ergebnisse der Mathematik und ihrer Grenzgebiete 68, Springer (1972) MR0507234
22	I R Shafarevich, Basic algebraic geometry, Die Grundlehren der mathematischen Wissenschaften 213, Springer (1974) MR0366917
23	D J Shors, Deforming reducible representations of knot groups in $\mathrm{SL}_2(\mathbb{C})$, PhD thesis, University of California, Los Angeles (1991)
24	V Turaev, Torsions of 3–dimensional manifolds, Progress in Mathematics 208, Birkhäuser Verlag (2002) MR1958479
25	C A Weibel, An introduction to homological algebra, Cambridge Studies in Advanced Mathematics 38, Cambridge University Press (1994) MR1269324
26	A Weil, Remarks on the cohomology of groups, Ann. of Math. $(2)$ 80 (1964) 149 MR0169956
27	G W Whitehead, Elements of homotopy theory, Graduate Texts in Mathematics 61, Springer (1978) MR516508