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Twisted Alexander polynomials and a partial order on the
set of prime knots
Teruaki Kitano and Masaaki Suzuki
Geometry & Topology Monographs 13
(2008) 307–321
1
R H Crowell ,
R H Fox , Introduction to knot theory ,
Graduate Texts in Mathematics 57, Springer (1977) MR0445489
Reprint of the 1963 original
2
J Hempel ,
3-Manifolds , Ann. of Math. Studies 86, Princeton
University Press (1976) MR0415619
3
B J Jiang ,
S C Wang , Twisted topological invariants
associated with representations , from: "Topics in knot
theory (Erzurum, 1992)", NATO Adv. Sci. Inst. Ser. C Math.
Phys. Sci. 399, Kluwer Acad. Publ. (1993) 211–227
MR1257911
4
P Kirk , C
Livingston , Twisted
Alexander invariants, Reidemeister torsion, and Casson-Gordon
invariants , Topology 38 (1999) 635–661 MR1670420
5
T Kitano , Twisted
Alexander polynomial and Reidemeister torsion , Pacific
J. Math. 174 (1996) 431–442 MR1405595
6
T Kitano , M
Suzuki , A
partial order in the knot table , Experiment. Math. 14
(2005) 385–390 MR2193401
7
T Kitano , M
Suzuki , A partial order in the knot table II , to
appear in Acta Math. Sin. (Engl. Ser.)
8
T Kitano , M
Suzuki , M Wada , Twisted Alexander
polynomials and surjectivity of a group homomorphism ,
Algebr. Geom. Topol. 5 (2005) 1315–1324 MR2171811
9
X S Lin ,
Representations of knot
groups and twisted Alexander polynomials , Acta Math.
Sin. (Engl. Ser.) 17 (2001) 361–380 MR1852950
10
C Livingston ,
J C Cha , Table of Knot
Invariants
11
J Milnor , A duality theorem for
Reidemeister torsion , Ann. of Math. (2) 76 (1962)
137–147 MR0141115
12
K Murasugi ,
Lectures at the Workshop in Osaka City University
(December 2003)
13
L P Neuwirth ,
Knot groups , Annals of Mathematics Studies 56, Princeton
University Press (1965) MR0176462
14
T Ohtsuki , R
Riley , M Sakuma , Epimorphisms between 2-bridge
link groups , preprint (2006)
15
D Rolfsen , Knots
and links , Mathematics Lecture Series 7, Publish or Perish
(1976) MR0515288
16
D S Silver , W
Whitten , Knot group
epimorphisms , J. Knot Theory Ramifications 15 (2006)
153–166 MR2207903
17
J Stallings , On
fibering certain 3-manifolds , from: "Topology of
3-manifolds and related topics (Proc. The Univ. of Georgia
Institute, 1961)", Prentice-Hall (1962) 95–100 MR0158375
18
M Wada , Twisted
Alexander polynomial for finitely presentable groups ,
Topology 33 (1994) 241–256 MR1273784
19
J Weeks , SnapPea