|
Algebraic & Geometric Topology 6
(2006) 145–169
|
| 1 |
C Adams, M
Hildebrand, J Weeks,
Hyperbolic invariants of knots and links, Trans. Amer.
Math. Soc. 326 (1991) 1–56 MR994161 |
| 2 |
M Boileau, B
Zimmermann, Symmetries of
nonelliptic Montesinos links, Math. Ann. 277 (1987)
563–584 MR891592 |
| 3 |
K S Brown,
Cohomology of groups, Graduate Texts in Mathematics 87,
Springer (1994) MR1324339 |
| 4 |
G Burde, Über periodische
Knoten, Arch. Math. (Basel) 30 (1978) 487–492
MR0645216 |
| 5 |
G Burde, H
Zieschang, Knots, de Gruyter Studies in Mathematics
5, Walter de Gruyter & Co. (2003) MR1959408 |
| 6 |
J C Cha,
Fibred knots and twisted Alexander invariants, Trans.
Amer. Math. Soc. 355 (2003) 4187–4200 MR1990582 |
| 7 |
N Chbili, The skein
polynomial of freely periodic knots, Topology Appl. 121
(2002) 535–542 MR1909007 |
| 8 |
J I Cogolludo,
V Florens, Twisted Alexander polynomials of plane
algebraic curves, arXiv:math.GT/0504356 |
| 9 |
J F Davis, C
Livingston, Alexander
polynomials of periodic knots, Topology 30 (1991)
551–564 MR1133872 |
| 10 |
J F Davis, C
Livingston, Periodic knots, Smith theory, and Murasugi's
congruence, Enseign. Math. (2) 37 (1991) 1–9 MR1115739 |
| 11 |
C H Dowker,
M B Thistlethwaite, Classification
of knot projections, Topology Appl. 16 (1983)
19–31 MR702617 |
| 12 |
A L Edmonds,
Least area
Seifert surfaces and periodic knots, Topology Appl. 18
(1984) 109–113 MR769284 |
| 13 |
S Friedl, T
Kim, The Thurston norm, fibered manifolds and twisted
Alexander polynomials, arXiv:math.GT/0505594 |
| 14 |
H Goda, T
Kitano, T Morifuji, Reidemeister torsion, twisted
Alexander polynomial and fibered knots, Comment. Math.
Helv. 80 (2005) 51–61 MR2130565 |
| 15 |
H Goda, T
Morifuji, Twisted Alexander polynomial for
SL(2,C)-representations and fibered knots, C. R.
Math. Acad. Sci. Soc. R. Can. 25 (2003) 97–101 MR2013157 |
| 16 |
R Hartley, Knots
with free period, Canad. J. Math. 33 (1981) 91–102
MR608857 |
| 17 |
J A Hillman,
New proofs of
two theorems on periodic knots, Arch. Math. (Basel) 37
(1981) 457–461 MR643289 |
| 18 |
J A Hillman,
On the Alexander polynomial of a cyclically periodic
knot, Proc. Amer. Math. Soc. 89 (1983) 155–156
MR706531 |
| 19 |
J Hillman,
Algebraic invariants of links, Series on Knots and
Everything 32, World Scientific Publishing Co. (2002) MR1932169 |
| 20 |
J Hoste, M
Thistlethwaite, Knotscape |
| 21 |
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 |
| 22 |
P Kirk, C
Livingston, Twisted
Alexander invariants, Reidemeister torsion, and
Casson–Gordon invariants, Topology 38 (1999)
635–661 MR1670420 |
| 23 |
P Kirk, C
Livingston, Twisted knot
polynomials: inversion, mutation and concordance,
Topology 38 (1999) 663–671 MR1670424 |
| 24 |
T Kitano, Twisted
Alexander polynomial and Reidemeister torsion, Pacific
J. Math. 174 (1996) 431–442 MR1405595 |
| 25 |
T Kitano, M
Suzuki, A partial order in the knot table,
University of Tokyo Graduate School of Mathematical Sciences,
UTMS 2005–7 (March 8, 2005) |
| 26 |
K Kodama, M
Sakuma, Symmetry groups of prime knots up to 10
crossings, from: "Knots 90 (Osaka, 1990)", de Gruyter
(1992) 323–340 MR1177431 |
| 27 |
W P Li, L
Xu, Counting
SL2(F2s)
representations of torus knot groups, Acta Math. Sin.
(Engl. Ser.) 19 (2003) 233–244 MR1987793 |
| 28 |
X S Lin,
Representations of knot groups and twisted Alexander
polynomials, Acta Math. Sin. (Engl. Ser.) 17 (2001)
361–380 MR1852950 |
| 29 |
C Livingston,
J C Cha, KnotInfo: Table of
Knots |
| 30 |
T Morifuji, A
Torres condition for twisted Alexander polynomials,
arXiv:math.GT/0412434 |
| 31 |
T Morifuji, A
twisted invariant for finitely presentable groups, Proc.
Japan Acad. Ser. A Math. Sci. 76 (2000) 143–145 MR1801675 |
| 32 |
K Murasugi, On
periodic knots, Comment. Math. Helv. 46 (1971)
162–174 MR0292060 |
| 33 |
S Naik, Periodicity,
genera and Alexander polynomials of knots, Pacific J.
Math. 166 (1994) 357–371 MR1313460 |
| 34 |
S Naik, New invariants of
periodic knots, Math. Proc. Cambridge Philos. Soc. 122
(1997) 281–290 MR1458233 |
| 35 |
J H Przytycki,
On Murasugi's
and Traczyk's criteria for periodic links, Math. Ann.
283 (1989) 465–478 MR985242 |
| 36 |
M Sakuma, On the polynomials of
periodic links, Math. Ann. 257 (1981) 487–494
MR639581 |
| 37 |
M Sakuma,
Non-free-periodicity of amphicheiral hyperbolic knots,
from: "Homotopy theory and related topics (Kyoto, 1984)", Adv.
Stud. Pure Math. 9, North-Holland (1987) 189–194 MR896954 |
| 38 |
A Tamulis, Knots of ten or
fewer crossings of algebraic order 2, J. Knot Theory
Ramifications 11 (2002) 211–222 MR1895371 |
| 39 |
P Traczyk,
10101 has no period 7: a criterion for periodic
links, Proc. Amer. Math. Soc. 108 (1990) 845–846
MR1031676 |
| 40 |
H F Trotter,
Periodic automorphisms of groups and knots, Duke Math.
J. 28 (1961) 553–557 MR0133820 |
| 41 |
M Wada, Twisted
Alexander polynomial for finitely presentable groups,
Topology 33 (1994) 241–256 MR1273784 |
| 42 |
J Weeks, SnapPea |
| 43 |
Y Yokota, The skein polynomial of
periodic knots, Math. Ann. 291 (1991) 281–291
MR1129368 |