Algebraic & Geometric Topology Volume 12, issue 4 (2012)

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author Index

To Appear

Other MSP Journals

Mutation and $\mathrm{SL}(2,\mathbb{C})$–Reidemeister torsion for hyperbolic knots

Pere Menal-Ferrer and Joan Porti

Algebraic & Geometric Topology 12 (2012) 2049–2067

DOI: 10.2140/agt.2012.12.2049

Bibliography

1	D Cooper, D D Long, Remarks on the A–polynomial of a knot, J. Knot Theory Ramifications 5 (1996) 609 MR1414090
2	D Coulson, O A Goodman, C D Hodgson, W D Neumann, Computing arithmetic invariants of 3–manifolds, Experiment. Math. 9 (2000) 127 MR1758805
3	N M Dunfield, S K Friedl, N J Jackson, Twisted Alexander polynomials of hyperbolic knots, Experiment. Math. (to appear) arXiv:1108.3045
4	N M Dunfield, S Garoufalidis, A Shumakovitch, M Thistlethwaite, Behavior of knot invariants under genus 2 mutation, New York J. Math. 16 (2010) 99 MR2657370
5	W Fulton, J Harris, Representation theory, 129, Springer (1991) MR1153249
6	W M Goldman, Invariant functions on Lie groups and Hamiltonian flows of surface group representations, Invent. Math. 85 (1986) 263 MR846929
7	R Hartshorne, Algebraic geometry, 52, Springer (1977) MR0463157
8	C D Hodgson, Degeneration and Regeneration of Geometric Structures on Three-Manifolds, PhD thesis, Princeton University (1986)
9	P Menal-Ferrer, J Porti, Twisted cohomology for hyperbolic three-manifolds, Osaka J. Math. 49 (2012) 741
10	J Milnor, Whitehead torsion, Bull. Amer. Math. Soc. 72 (1966) 358 MR0196736
11	H R Morton, N Ryder, Invariants of genus 2 mutants, J. Knot Theory Ramifications 18 (2009) 1423 MR2583803
12	D Mumford, Algebraic geometry I: Complex projective varieties, 221, Springer (1976) MR0453732
13	R Myers, Simple knots in compact, orientable 3–manifolds, Trans. Amer. Math. Soc. 273 (1982) 75
14	J P Otal, Le théorème d’hyperbolisation pour les variétés fibrées de dimension 3, Astérisque (1996) MR1402300
15	J P Otal, Thurston’s hyperbolization of Haken manifolds, from: "Surveys in differential geometry, Vol III (Cambridge, MA, 1996)", Int. Press, Boston (1998) 77 MR1677888
16	L Paoluzzi, J Porti, Hyperbolic isometries versus symmetries of links, Topology Appl. 156 (2009) 1140
17	J Porti, Torsion de Reidemeister pour les variétés hyperboliques, Mem. Amer. Math. Soc. 128 (1997) MR1396960
18	D Ruberman, Mutation and volumes of knots in S³, Invent. Math. 90 (1987) 189 MR906585
19	A S Sikora, Character varieties, Trans. Amer. Math. Soc. 364 (2012) 5173
20	S Tillmann, On the Kinoshita–Terasaka knot and generalised Conway mutation, J. Knot Theory Ramifications 9 (2000) 557 MR1758873
21	V G Turaev, Reidemeister torsion in knot theory, Uspekhi Mat. Nauk 41 (1986) 97, 240 MR832411
22	M Wada, Twisted Alexander polynomial for finitely presentable groups, Topology 33 (1994) 241 MR1273784
23	J R Weeks, SnapPea (1993)