Geometry & Topology Monographs 7
(2004) 101–134
|
1 |
D Bar-Natan,
Vassiliev
homotopy string link invariants, J. Knot Theory
Ramifications 4 (1995) 13–32 MR1321289 |
2 |
A J Casson,
Three lectures on new-infinite constructions in
4–dimensional manifolds, from: "À la recherche
de la topologie perdue", Progr. Math. 62, Birkhäuser
(1986) 201–244 MR900253
With an appendix by L. Siebenmann |
3 |
A J Casson,
Link
cobordism and Milnor's invariant, Bull. London Math.
Soc. 7 (1975) 39–40 MR0362286 |
4 |
T D Cochran,
Derivatives of links: Milnor's concordance invariants and
Massey's products, Mem. Amer. Math. Soc. 84 (1990) MR1042041 |
5 |
T D Cochran,
K E Orr, P Teichner, Knot
concordance, Whitney towers and
L²–signatures, Ann. of Math. (2) 157 (2003)
433–519 MR1973052 |
6 |
T D Cochran, P
Teichner, Knot
concordance and von Neumann ρ–invariants,
Duke Math. J. 137 (2007) 337–379 MR2309149 |
7 |
J Conant, P
Teichner, Grope
cobordism of classical knots, Topology 43 (2004)
119–156 MR2030589 |
8 |
J Conant, P
Teichner, Grope cobordism
and Feynman diagrams, Math. Ann. 328 (2004)
135–171 MR2030373 |
9 |
J Conant, R
Schneiderman, P Teichner, A geometric IHX
relation in 3 and 4 dimensions, in preparation |
10 |
M H Freedman,
The
topology of four-dimensional manifolds, J. Differential
Geom. 17 (1982) 357–453 MR679066 |
11 |
M H Freedman,
F Quinn, Topology of 4–manifolds, Princeton
Mathematical Series 39, Princeton University Press (1990)
MR1201584 |
12 |
C H Giffen,
Link concordance implies link homotopy, Math. Scand. 45
(1979) 243–254 MR580602 |
13 |
D L Goldsmith,
Concordance
implies homotopy for classical links in M3,
Comment. Math. Helv. 54 (1979) 347–355 MR543335 |
14 |
S Garoufalidis, A
Kricker, A rational
noncommutative invariant of boundary links, Geom.
Topol. 8 (2004) 115–204 MR2033481 |
15 |
S Garoufalidis, J
Levine, Homology surgery and
invariants of 3–manifolds, Geom. Topol. 5 (2001)
551–578 MR1833753 |
16 |
K Habiro, Claspers and finite
type invariants of links, Geom. Topol. 4 (2000)
1–83 MR1735632 |
17 |
N Habegger, G
Masbaum, The
Kontsevich integral and Milnor's invariants, Topology
39 (2000) 1253–1289 MR1783857 |
18 |
M A Kervaire,
J W Milnor, On 2–spheres in
4–manifolds, Proc. Nat. Acad. Sci. U.S.A. 47 (1961)
1651–1657 MR0133134 |
19 |
W Magnus, A
Karrass, D Solitar, Combinatorial group
theory, Dover Publications (1976) MR0422434
Presentations of groups in terms of generators and
relations |
20 |
K Kobayashi, On a
homotopy version of 4–dimensional Whitney's lemma,
Math. Sem. Notes Kobe Univ. 5 (1977) 109–116 MR0458431 |
21 |
S Kojima, Milnor's \bar
µ –invariants, Massey products and Whitney's trick
in 4 dimensions, Topology Appl. 16 (1983) 43–60
MR702619 |
22 |
V S Krushkal,
Exponential
separation in 4–manifolds, Geom. Topol. 4 (2000)
397–405 MR1796497 |
23 |
V S Krushkal,
P Teichner, Alexander duality,
gropes and link homotopy, Geom. Topol. 1 (1997)
51–69 MR1475554 |
24 |
J Milnor, Link groups, Ann.
of Math. (2) 59 (1954) 177–195 MR0071020 |
25 |
J Milnor, Isotopy
of links. Algebraic geometry and topology, from: "A
symposium in honor of S. Lefschetz", Princeton University Press
(1957) 280–306 MR0092150 |
26 |
Y Matsumoto,
Secondary intersectional properties of 4–manifolds and
Whitney's trick, from: "Algebraic and geometric topology
(Proc. Sympos. Pure Math., Stanford Univ., Stanford, Calif.,
1976), Part 2", Proc. Sympos. Pure Math., XXXII, Amer. Math.
Soc. (1978) 99–107 MR520526 |
27 |
G Masbaum, A
Vaintrob, Milnor
numbers, spanning trees, and the Alexander–Conway
polynomial, Adv. Math. 180 (2003) 765–797
MR2020557 |
28 |
R Schneiderman,
Whitney
towers and gropes in 4–manifolds, Trans. Amer.
Math. Soc. 358 (2006) 4251–4278 MR2231378 |
29 |
R Schneiderman,
Simple Whitney towers, half-gropes and the Arf invariant of
a knot arXiv:math.GT/0310304 |
30 |
R Schneiderman, P
Teichner, Higher order
intersection numbers of 2–spheres in
4–manifolds, Algebr. Geom. Topol. 1 (2001)
1–29 MR1790501 |
31 |
R Schneiderman, P
Teichner, Pulling apart 2–spheres in
4–manifolds, in preparation |
32 |
R Schneiderman, P
Teichner, Grope concordance of classical links, in
preparation |
33 |
P Teichner, Knots,
von Neumann signatures, and grope cobordism, from:
"Proceedings of the International Congress of Mathematicians,
Vol II (Beijing, 2002)", Higher Ed. Press (2002) 437–446
MR1957054 |
34 |
C T C Wall,
Surgery on compact manifolds, Mathematical Surveys and
Monographs 69, American Mathematical Society (1999) MR1687388
Edited and with a foreword by A. A. Ranicki |
35 |
H Whitney, The self-intersections of a
smooth n–manifold in 2n–space, Ann. of
Math. (2) 45 (1944) 220–246 MR0010274 |
36 |
M Yamasaki,
Whitney's trick
for three 2–dimensional homology classes of
4–manifolds, Proc. Amer. Math. Soc. 75 (1979)
365–371 MR532167 |