Algebraic & Geometric Topology Volume 4, issue 2 (2004)

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

Alexander polynomial, finite type invariants and volume of hyperbolic knots

Efstratia Kalfagianni

Algebraic & Geometric Topology 4 (2004) 1111–1123

DOI: 10.2140/agt.2004.4.1111

Bibliography

1	C C Adams, Volumes of $N$–cusped hyperbolic 3–manifolds, J. London Math. Soc. $(2)$ 38 (1988) 555 MR972138
2	N Askitas, E Kalfagianni, On knot adjacency, Topology Appl. 126 (2002) 63 MR1934253
3	D Bar-Natan, S Garoufalidis, On the Melvin–Morton–Rozansky conjecture, Invent. Math. 125 (1996) 103 MR1389962
4	F Bonahon, Geometric structures on 3–manifolds, from: "Handbook of geometric topology", North-Holland (2002) 93 MR1886669
5	G Burde, H Zieschang, Knots, de Gruyter Studies in Mathematics 5, Walter de Gruyter & Co. (1985) MR808776
6	P J Callahan, A W Reid, Hyperbolic structures on knot complements, Chaos Solitons Fractals 9 (1998) 705 MR1628752
7	O T Dasbach, X S Lin, A volumish theorem for the Jones polynomial of alternating knots, Pacific J. Math. 231 (2007) 279 MR2346497
8	D Gabai, Foliations and the topology of 3–manifolds III, J. Differential Geom. 26 (1987) 479 MR910018
9	H Howards, J Luecke, Strongly $n$–trivial knots, Bull. London Math. Soc. 34 (2002) 431 MR1897422
10	E Kalfagianni, X S Lin, Knot adjacency and satellites, Topology Appl. 138 (2004) 207 MR2035481
11	E Kalfagianni, X S Lin, Knot adjacency, genus and essential tori, Pacific J. Math. 228 (2006) 251 MR2274520
12	R M Kashaev, The hyperbolic volume of knots from the quantum dilogarithm, Lett. Math. Phys. 39 (1997) 269 MR1434238
13	W Menasco, Closed incompressible surfaces in alternating knot and link complements, Topology 23 (1984) 37 MR721450
14	H Murakami, J Murakami, The colored Jones polynomials and the simplicial volume of a knot, Acta Math. 186 (2001) 85 MR1828373
15	D S Silver, S G Williams, Mahler measure of Alexander polynomials, J. London Math. Soc. $(2)$ 69 (2004) 767 MR2050045
16	D S Silver, A Stoimenow, S G Williams, Euclidean Mahler measure and twisted links, Algebr. Geom. Topol. 6 (2006) 581 MR2220690
17	A Stoimenow, Graphs, determinants of knots and hyperbolic volume, Pacific J. Math. 232 (2007) 423 MR2366362
18	W Thurston, The geometry and topology of 3–manifolds