Algebraic & Geometric Topology Volume 13, issue 4 (2013)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Other MSP journals

The universal character ring of some families of one-relator groups

Anh T Tran

Algebraic & Geometric Topology 13 (2013) 2317–2333

DOI: 10.2140/agt.2013.13.2317

Bibliography

1	M Culler, P B Shalen, Varieties of group representations and splittings of $3$–manifolds, Ann. of Math. 117 (1983) 109 MR683804
2	C Frohman, R Gelca, W Lofaro, The A–polynomial from the noncommutative viewpoint, Trans. Amer. Math. Soc. 354 (2002) 735 MR1862565
3	S Garoufalidis, On the characteristic and deformation varieties of a knot, from: "Proceedings of the Casson Fest" (editors C Gordon, Y Rieck), Geom. Topol. Monogr. 7 (2004) 291 MR2172488
4	R Gelca, On the relation between the $A$–polynomial and the Jones polynomial, Proc. Amer. Math. Soc. 130 (2002) 1235 MR1873802
5	H M Hilden, D M Tejada, M M Toro, Tunnel number one knots have palindrome presentations, J. Knot Theory Ramifications 11 (2002) 815 MR1918817
6	T T Q Lê, The colored Jones polynomial and the $A$–polynomial of knots, Adv. Math. 207 (2006) 782 MR2271986
7	T Le, A Tran, The Kauffman bracket skein module of two-bridge links arXiv:1111.0332
8	T Le, A Tran, On the AJ conjecture for knots arXiv:1111.5258
9	A Lubotzky, A R Magid, Varieties of representations of finitely generated groups, Mem. Amer. Math. Soc. 58 (1985) MR818915
10	T W Mattman, The Culler–Shalen seminorms of the $(-2,3,n)$ pretzel knot, J. Knot Theory Ramifications 11 (2002) 1251 MR1949779
11	U Oertel, Closed incompressible surfaces in complements of star links, Pacific J. Math. 111 (1984) 209 MR732067
12	J H Przytycki, A S Sikora, On skein algebras and $\mathrm{Sl}_2(\mathbf{C})$–character varieties, Topology 39 (2000) 115 MR1710996
13	L T K Tkhang, Varieties of representations and their subvarieties of cohomology jumps for knot groups, Mat. Sb. 184 (1993) 57 MR1214944
14	A Tran, The universal character ring of the $(-2,2m+1,2n)$–pretzel link arXiv:1209.0002