|
Algebraic & Geometric Topology 9
(2009) 1341–1398
|
| 1 |
J S Birman,
A note on the
construction of simply-connected 3–manifolds as branched
covering spaces of S3, Proc. Amer. Math.
Soc. 55 (1976) 440–442 MR0394629 |
| 2 |
G Burde, H
Zieschang, Knots, de Gruyter Studies in Math. 5,
Walter de Gruyter (2003) MR1959408 |
| 3 |
S E Cappell,
J L Shaneson, Invariants
of 3–manifolds, Bull. Amer. Math. Soc. 81 (1975)
559–562 MR0367967 |
| 4 |
S E Cappell,
J L Shaneson, Linking numbers in branched
covers, from: "Four-manifold theory (Durham, N.H., 1982)"
(editors C Gordon, R Kirby), Contemp. Math. 35, Amer. Math.
Soc. (1984) 165–179 MR780578 |
| 5 |
T D Cochran, A
Gerges, K Orr, Dehn surgery
equivalence relations on 3–manifolds, Math. Proc.
Cambridge Philos. Soc. 131 (2001) 97–127 MR1833077 |
| 6 |
D Cooper, C D
Hodgson, S P Kerckhoff, Three-dimensional
orbifolds and cone-manifolds, MSJ Memoirs 5, Math. Soc.
Japan (2000) MR1778789
With a postface by S Kojima |
| 7 |
R H Fox, A
quick trip through knot theory, from: "Topology of
3–manifolds and related topics (Proc. The Univ. of
Georgia Institute, 1961)", Prentice-Hall (1962) 120–167
MR0140099 |
| 8 |
S Garoufalidis, A
Kricker, A surgery view of
boundary links, Math. Ann. 327 (2003) 103–115
MR2005123 |
| 9 |
S Garoufalidis, A
Kricker, Finite type
invariants of cyclic branched covers, Topology 43
(2004) 1247–1283 MR2081426 |
| 10 |
S Garoufalidis, A
Kricker, A rational
noncommutative invariant of boundary links, Geom.
Topol. 8 (2004) 115–204 MR2033481 |
| 11 |
P M Gilmer,
Configurations
of surfaces in 4–manifolds, Trans. Amer. Math.
Soc. 264 (1981) 353–380 MR603768 |
| 12 |
P M Gilmer,
Classical
knot and link concordance, Comment. Math. Helv. 68
(1993) 1–19 MR1201199 |
| 13 |
K Habiro, Claspers and finite
type invariants of links, Geom. Topol. 4 (2000)
1–83 MR1735632 |
| 14 |
R A Litherland,
S D Wallace, Surgery description
of colored knots, Algebr. Geom. Topol. 8 (2008)
1295–1332 MR2443245 |
| 15 |
S V Matveev,
Generalized surgeries of three-dimensional manifolds and
representations of homology spheres, Mat. Zametki 42 (1987)
268–278, 345 MR915115 |
| 16 |
D Moskovich,
Surgery
untying of coloured knots, Algebr. Geom. Topol. 6
(2006) 673–697 MR2240912 |
| 17 |
H Murakami, Y
Nakanishi, On a certain move
generating link-homology, Math. Ann. 284 (1989)
75–89 MR995383 |
| 18 |
S Naik, T
Stanford, A move on
diagrams that generates S–equivalence of knots,
J. Knot Theory Ramifications 12 (2003) 717–724 MR1999640 |
| 19 |
K A Perko Jr.,
On the
classification of knots, Proc. Amer. Math. Soc. 45
(1974) 262–266 MR0353294 |
| 20 |
J H Przytycki,
M V Sokolov, Surgeries on
periodic links and homology of periodic
3–manifolds, Math. Proc. Cambridge Philos. Soc.
131 (2001) 295–307 MR1857121 |
| 21 |
K Reidemeister,
Knoten und
Verkettungen, Math. Z. 29 (1929) 713–729 MR1545033 |
| 22 |
D Rolfsen, Knots
and links, Math. Lecture Series 7, Publish or Perish (1990)
MR1277811 |
| 23 |
J J Rotman, An
introduction to the theory of groups, Graduate Texts in
Math. 148, Springer (1995) MR1307623 |
| 24 |
C P Rourke,
B J Sanderson, Introduction to piecewise-linear
topology, Ergebnisse der Math. und ihrer Grenzgebiete 69,
Springer (1972) MR0350744 |
| 25 |
M Sakuma, Surgery
description of orientation-preserving periodic maps on compact
orientable 3–manfolds, Rend. Istit. Mat. Univ.
Trieste 32 (2001) MR1893406 |
| 26 |
H Seifert, W
Threlfall, A textbook of topology, Pure and Applied
Math. 89, Academic Press (1980) MR575168
Translated from the German edition of 1934 by M A Goldman,
With a preface by J S Birman |
| 27 |
F J Swenton,
Algorithmic
construction of Kirby diagrams for branched covers, J.
Knot Theory Ramifications 13 (2004) 939–945 MR2101236 |
| 28 |
T Yamada,
Translation algorithms between the covering presentation and
other presentations of 3–manifolds, dissertation,
Tokyo Institute of Technology (2002) |