Deforming abelian SU(2)-representations of knot groups

Commentarii Mathematici Helvetici

Volumn 73, Issue 3, 1998, Pages 480-498

  Heusener, Michael ^a   Kroll, Jochen ^b  

^a INSTITUT DE MATHÉMATIQUES DE TOULOUSE   (France)

^b UNIVERSITY OF SIEGEN   (Germany)

Author keywords

Group representations; Knot groups; SU(2)

Indexed keywords

EID: 0032419544     PISSN: 00102571     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000140050065     Document Type: Article

References (16)

1. G. Burde, SU(2)-representation spaces for two-bridge knot groups, Math. Ann. 288 (1990), 103-119.
2. G. Burde and H. Zieschang, Knots, Walter de Gruyter, 1985.
3. C. D. Frohman and E. P. Klassen, Deforming representations of knot groups in SU(2), Comment. Math. Helvetici 66 (1991).
4. C. Giller, A family of links and the Conway calculus, Trans. AMS 270 (1982), 75-109.
5. L. Guillou and A. Marin, Notes sur l'invariant de Casson des sphères d'homologie de dimension trois, L'Enseignement Math. 38 (1992), 233-290.
6. C. Mc A. Gordon, Some aspects of classical knot theory. In: Knot Theory, Lecture Notes in Mathematics 685, 1978.
7. Ch. M. Herald, Existence of irreducible representations for homology knot complements with nonconstant equivariant signature, Math. Ann. 309 (1997).
8. M. Hensener, An orientation for the SU(2)-representaticm space of knot groups, Preprint, 1997.
9. V. F. R. Jones, Hecke algebra representations of braid groups and link polynomials, Ann. of Math. 126 (1987), 355-388.
10. L. H. Kauffman, On Knots, Annals of Mathematics Studies 115, Princeton University Press, 1987.
11. E. P. Klassen, Representations of knot groups in SU(2), Transactions of the AMS 326(2) (1991).
12. J. Kroll, Äquivariante Signatur und SU(2)-Darstellungsräume von Knotengruppen, Diplomarbeit, Universität-Gesamthochschule Siegen, 1996.
13. Xiao-Song Lin, A knot invariant via representation spaces, J. Differential Geometry 35 (1992).
14. A. S. Lipson, Link signature, Goeritz matrices and polynomial invariants, L'Enseignement Math. 36 (1990), 93-114.
15. D. D. Long, On the linear representation of braid groups, Transactions of the AMS 311 (1989), 535-560.
16. K. Murasugi, Knot Theory and its Applications, Birkhäuser, 1996.