Volume 16, issue 3 (2012)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 29
Issue 5, 2251–2782
Issue 4, 1693–2250
Issue 3, 1115–1691
Issue 2, 549–1114
Issue 1, 1–548

Volume 28, 9 issues

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
 
Author index
To appear
 
Other MSP journals
Whitney tower concordance of classical links

James Conant, Rob Schneiderman and Peter Teichner

Geometry & Topology 16 (2012) 1419–1479
Bibliography
1 J C Cha, Link concordance, homology cobordism, and Hirzebruch-type defects from iterated $p$–covers, J. Eur. Math. Soc. 12 (2010) 555 MR2639313
2 T D Cochran, Derivatives of links: Milnor's concordance invariants and Massey's products, Mem. Amer. Math. Soc. 84, no. 427, Amer. Math. Soc. (1990) MR1042041
3 T D Cochran, $k$–Cobordism for links in $S^3$, Trans. Amer. Math. Soc. 327 (1991) 641 MR1055569
4 T D Cochran, S Harvey, C Leidy, Knot concordance and higher-order Blanchfield duality, Geom. Topol. 13 (2009) 1419 MR2496049
5 T D Cochran, K E Orr, P Teichner, Knot concordance, Whitney towers and $L^2$–signatures, Ann. of Math. 157 (2003) 433 MR1973052
6 T D Cochran, P Teichner, Knot concordance and von Neumann $\rho$–invariants, Duke Math. J. 137 (2007) 337 MR2309149
7 J Conant, R Schneiderman, P Teichner, Jacobi identities in low-dimensional topology, Compos. Math. 143 (2007) 780 MR2330447
8 J Conant, R Schneiderman, P Teichner, Milnor invariants and twisted Whitney towers arXiv:1102.0758
9 J Conant, R Schneiderman, P Teichner, Universal quadratic refinements and untwisting Whitney towers arXiv:1101.3480
10 J Conant, R Schneiderman, P Teichner, Universal quadratic refinements and Whitney towers arXiv:1207.0109
11 J Conant, R Schneiderman, P Teichner, Tree homology and a conjecture of Levine, Geom. Topol. 16 (2012) 555
12 J Conant, R Schneiderman, P Teichner, Geometric filtrations of string links and homology cylinders arXiv:1202.2482
13 J Conant, P Teichner, Grope cobordism and Feynman diagrams, Math. Ann. 328 (2004) 135 MR2030373
14 J Conant, P Teichner, Grope cobordism of classical knots, Topology 43 (2004) 119 MR2030589
15 M H Freedman, The disk theorem for four-dimensional manifolds, from: "Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Warsaw, 1983)" (editors Z Ciesielski, C Olech), PWN (1984) 647 MR804721
16 M H Freedman, R Kirby, A geometric proof of Rochlin's theorem, from: "Algebraic and geometric topology (Proc. Sympos. Pure Math., Stanford Univ., Stanford, CA, 1976), Part 2" (editor R J Milgram), Proc. Sympos. Pure Math. XXXII, Amer. Math. Soc. (1978) 85 MR520525
17 M H Freedman, F Quinn, Topology of $4$–manifolds, Princeton Math. Series 39, Princeton Univ. Press (1990) MR1201584
18 M H Freedman, P Teichner, $4$–manifold topology II: Dwyer's filtration and surgery kernels, Invent. Math. 122 (1995) 531 MR1359603
19 N Habegger, G Masbaum, The Kontsevich integral and Milnor's invariants, Topology 39 (2000) 1253 MR1783857
20 K Igusa, K E Orr, Links, pictures and the homology of nilpotent groups, Topology 40 (2001) 1125 MR1867241
21 V S Krushkal, Exponential separation in $4$–manifolds, Geom. Topol. 4 (2000) 397 MR1796497
22 V S Krushkal, P Teichner, Alexander duality, gropes and link homotopy, Geom. Topol. 1 (1997) 51 MR1475554
23 J Levine, Addendum and correction to: “Homology cylinders: an enlargement of the mapping class group” \rm[Algebr. Geom. Topol. 1 (2001) 243–270 MR1823501], Algebr. Geom. Topol. 2 (2002) 1197 MR1943338
24 J Levine, Labeled binary planar trees and quasi-Lie algebras, Algebr. Geom. Topol. 6 (2006) 935 MR2240921
25 Y Matsumoto, Secondary intersectional properties of $4$–manifolds and Whitney's trick, from: "Algebraic and geometric topology (Proc. Sympos. Pure Math., Stanford Univ., Stanford, CA, 1976), Part 2" (editor R J Milgram), Proc. Sympos. Pure Math. XXXII, Amer. Math. Soc. (1978) 99 MR520526
26 J B Meilhan, A Yasuhara, Characterization of finite type string link invariants of degree $\lt 5$, Math. Proc. Cambridge Philos. Soc. 148 (2010) 439 MR2609302
27 K E Orr, Homotopy invariants of links, Invent. Math. 95 (1989) 379 MR974908
28 R Schneiderman, Simple Whitney towers, half-gropes and the Arf invariant of a knot, Pacific J. Math. 222 (2005) 169 MR2200249
29 R Schneiderman, Whitney towers and gropes in $4$–manifolds, Trans. Amer. Math. Soc. 358 (2006) 4251 MR2231378
30 R Schneiderman, Stable concordance of knots in $3$–manifolds, Algebr. Geom. Topol. 10 (2010) 373 MR2602841
31 R Schneiderman, P Teichner, Higher order intersection numbers of $2$–spheres in $4$–manifolds, Algebr. Geom. Topol. 1 (2001) 1 MR1790501
32 R Schneiderman, P Teichner, Whitney towers and the Kontsevich integral, from: "Proceedings of the Casson Fest" (editors C Gordon, Y Rieck), Geom. Topol. Monogr. 7, Geom. Topol. Publ. (2004) 101 MR2172480
33 A Scorpan, The wild world of $4$–manifolds, Amer. Math. Soc. (2005) MR2136212
34 R Stong, Existence of $\pi_1$–negligible embeddings in $4$–manifolds: A correction to Theorem 10.5 of Freedmann and Quinn, Proc. Amer. Math. Soc. 120 (1994) 1309 MR1215031
35 P Teichner, Knots, von Neumann signatures, and grope cobordism, from: "Proceedings of the International Congress of Mathematicians, Vol. II (Beijing, 2002)" (editor T Li), Higher Ed. Press (2002) 437 MR1957054
36 P Teichner, What is $\ldots$ a grope?, Notices Amer. Math. Soc. 51 (2004) 894
37 H Whitney, The self-intersections of a smooth $n$–manifold in $2n$–space, Ann. of Math. 45 (1944) 220 MR0010274
38 M Yamasaki, Whitney's trick for three $2$–dimensional homology classes of $4$–manifolds, Proc. Amer. Math. Soc. 75 (1979) 365 MR532167