Geometry & Topology Volume 12, issue 4 (2008)

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Covering link calculus and iterated Bing doubles

Jae Choon Cha and Taehee Kim

Geometry & Topology 12 (2008) 2173–2201

DOI: 10.2140/gt.2008.12.2173

Bibliography

1	S E Cappell, J L Shaneson, Link cobordism, Comment. Math. Helv. 55 (1980) 20 MR569244
2	A J Casson, C M Gordon, Cobordism of classical knots, from: "À la recherche de la topologie perdue", Progr. Math. 62, Birkhäuser (1986) 181 MR900252
3	J C Cha, Link concordance, homology cobordism, and Hirzebruch-type defects from iterated p-covers, to appear in J. Eur. Math. Soc. arXiv:math.GT/0705.0088
4	J C Cha, Structure of the string link concordance group and Hirzebruch-type invariants, to appear in Indiana Univ. Math. J. arXiv:0709.2968
5	J C Cha, The structure of the rational concordance group of knots, Mem. Amer. Math. Soc. 189 (2007) MR2343079
6	J C Cha, K H Ko, Signatures of links in rational homology spheres, Topology 41 (2002) 1161 MR1923217
7	J C Cha, C Livingston, D Ruberman, Algebraic and Heegaard Floer invariants of knots with slice Bing doubles, Math. Proc. Cambridge Philos. Soc. 144 (2008) 403 MR2405897
8	D Cimasoni, Slicing Bing doubles, Algebr. Geom. Topol. 6 (2006) 2395 MR2286030
9	T D Cochran, Noncommutative knot theory, Algebr. Geom. Topol. 4 (2004) 347 MR2077670
10	T D Cochran, S L Harvey, C Leidy, Knot concordance and Blanchfield duality arXiv:math.GT/0705.3987
11	T D Cochran, S L Harvey, C Leidy, Knot concordance and higher-order Blanchfield duality arXiv:0710.3082
12	T D Cochran, S L Harvey, C Leidy, Link concordance and generalized doubling operators, to appear in Alg. Geom. Top. arXiv:0801.3677
13	T D Cochran, T Kim, Higher-order Alexander invariants and filtrations of the knot concordance group, Trans. Amer. Math. Soc. 360 (2008) 1407 MR2357701
14	T D Cochran, K E Orr, Not all links are concordant to boundary links, Ann. of Math. $(2)$ 138 (1993) 519 MR1247992
15	T D Cochran, K E Orr, P Teichner, Knot concordance, Whitney towers and $L^2$–signatures, Ann. of Math. $(2)$ 157 (2003) 433 MR1973052
16	T D Cochran, K E Orr, P Teichner, Structure in the classical knot concordance group, Comment. Math. Helv. 79 (2004) 105 MR2031301
17	T D Cochran, P Teichner, Knot concordance and von Neumann $\rho$–invariants, Duke Math. J. 137 (2007) 337 MR2309149
18	J Duval, Forme de Blanchfield et cobordisme d'entrelacs bords, Comment. Math. Helv. 61 (1986) 617 MR870709
19	S L Harvey, Higher-order polynomial invariants of $3$–manifolds giving lower bounds for the Thurston norm, Topology 44 (2005) 895 MR2153977
20	S L Harvey, Homology cobordism invariants and the Cochran–Orr–Teichner filtration of the link concordance group, Geom. Topol. 12 (2008) 387 MR2390349
21	K H Ko, Seifert matrices and boundary link cobordisms, Trans. Amer. Math. Soc. 299 (1987) 657 MR869227
22	J P Levine, Invariants of knot cobordism, Invent. Math. 8 $(1969)$, 98–110; addendum, ibid. 8 (1969) 355 MR0253348
23	J P Levine, Link invariants via the eta invariant, Comment. Math. Helv. 69 (1994) 82 MR1259607
24	C Manolescu, B Owens, A concordance invariant from the Floer homology of double branched covers, Int. Math. Res. Not. IMRN (2007) 21 MR2363303
25	W Mio, On boundary-link cobordism, Math. Proc. Cambridge Philos. Soc. 101 (1987) 259 MR870597
26	P Ozsváth, Z Szabó, Knot Floer homology and the four-ball genus, Geom. Topol. 7 (2003) 615 MR2026543