Volume 6, issue 1 (2006)

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

Volume 24
Issue 7, 3571–4137
Issue 6, 2971–3570
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
A volume form on the $\mathrm{SU}(2)$–representation space of knot groups

Jérôme Dubois

Algebraic & Geometric Topology 6 (2006) 373–404
Bibliography
1 S Akbulut, J D McCarthy, Casson's invariant for oriented homology $3$-spheres, Mathematical Notes 36, Princeton University Press (1990) MR1030042
2 J S Birman, On the stable equivalence of plat representations of knots and links, Canad. J. Math. 28 (1976) 264 MR0402715
3 S Boyer, X Zhang, Finite Dehn surgery on knots, J. Amer. Math. Soc. 9 (1996) 1005 MR1333293
4 G Burde, H Zieschang, Knots, de Gruyter Studies in Mathematics 5, Walter de Gruyter & Co. (1985) MR808776
5 J Dubois, Non abelian twisted Reidemeister torsion for fibered knots, to appear in Canad. Bull. Math. arXiv:math.GT/0403304
6 J Dubois, Étude d'une forme volume naturelle sur l'espace de représentations du groupe d'un n\oe ud dans $\mathrm{SU}(2)$, C. R. Math. Acad. Sci. Paris 336 (2003) 641 MR1988124
7 J Dubois, Torsion de Reidemeister non abélienne et forme volume sur l'espace des représentations du groupe d'un n\oe ud, PhD thesis, Université Blaise Pascal (2003)
8 J Dubois, Non abelian Reidemeister torsion and volume form on the $\mathrm{SU}(2)$-representation space of knot groups, Ann. Inst. Fourier (Grenoble) 55 (2005) 1685 MR2172277
9 L Guillou, A Marin, Notes sur l'invariant de Casson des sphères d'homologie de dimension trois, Enseign. Math. $(2)$ 38 (1992) 233 MR1189008
10 M Heusener, An orientation for the $\mathrm SU(2)$-representation space of knot groups, Topology Appl. 127 (2003) 175 MR1953326
11 M Heusener, E Klassen, Deformations of dihedral representations, Proc. Amer. Math. Soc. 125 (1997) 3039 MR1443155
12 E P Klassen, Representations of knot groups in $\mathrm{SU}(2)$, Trans. Amer. Math. Soc. 326 (1991) 795 MR1008696
13 X S Lin, A knot invariant via representation spaces, J. Differential Geom. 35 (1992) 337 MR1158339
14 J Milnor, Two complexes which are homeomorphic but combinatorially distinct, Ann. of Math. $(2)$ 74 (1961) 575 MR0133127
15 J Milnor, A duality theorem for Reidemeister torsion, Ann. of Math. $(2)$ 76 (1962) 137 MR0141115
16 J Porti, Torsion de Reidemeister pour les variétés hyperboliques, Mem. Amer. Math. Soc. 128 (1997) MR1396960
17 V Turaev, Torsions of $3$-dimensional manifolds, Progress in Mathematics 208, Birkhäuser Verlag (2002) MR1958479
18 E Witten, On quantum gauge theories in two dimensions, Comm. Math. Phys. 141 (1991) 153 MR1133264