Volume 18, issue 3 (2014)

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Covering link calculus and the bipolar filtration of topologically slice links

Jae Choon Cha and Mark Powell

Geometry & Topology 18 (2014) 1539–1579
Bibliography
1 A J Casson, C M Gordon, Cobordism of classical knots, from: "À la recherche de la topologie perdue" (editors L Guillou, A Marin), Progr. Math. 62, Birkhäuser (1986) 181 MR900252
2 J C Cha, Amenable L2–theoretic methods and knot concordance, arXiv:1010.1058
3 J C Cha, The structure of the rational concordance group of knots, 189 (2007)
4 J C Cha, Structure of the string link concordance group and Hirzebruch-type invariants, Indiana Univ. Math. J. 58 (2009) 891 MR2514393
5 J C Cha, T Kim, Covering link calculus and iterated Bing doubles, Geom. Topol. 12 (2008) 2173 MR2431018
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 T D Cochran, S Harvey, Homology and derived p–series of groups, J. Lond. Math. Soc. 78 (2008) 677 MR2456898
9 T D Cochran, S Harvey, P Horn, Filtering smooth concordance classes of topologically slice knots, Geom. Topol. 17 (2013) 2103 MR3109864
10 T D Cochran, P D Horn, Structure in the bipolar filtration of topologically slice knots, arXiv:1208.5788
11 T D Cochran, W B R Lickorish, Unknotting information from 4–manifolds, Trans. Amer. Math. Soc. 297 (1986) 125 MR849471
12 T D Cochran, K E Orr, P Teichner, Knot concordance, Whitney towers and L2–signatures, Ann. of Math. 157 (2003) 433 MR1973052
13 N Habegger, X S Lin, On link concordance and Milnor’s μ invariants, Bull. London Math. Soc. 30 (1998) 419 MR1620841
14 M Hedden, Knot Floer homology of Whitehead doubles, Geom. Topol. 11 (2007) 2277 MR2372849
15 M Hedden, P Kirk, Instantons, concordance, and Whitehead doubling, J. Differential Geom. 91 (2012) 281 MR2971290
16 M Hedden, C Livingston, D Ruberman, Topologically slice knots with nontrivial Alexander polynomial, Adv. Math. 231 (2012) 913 MR2955197
17 J Hom, The knot Floer complex and the smooth concordance group, arXiv:1111.6635
18 A S Levine, Slicing mixed Bing–Whitehead doubles, J. Topol. 5 (2012) 713 MR2971611
19 C Livingston, C A Van Cott, Concordance of Bing doubles and boundary genus, Math. Proc. Cambridge Philos. Soc. 151 (2011) 459 MR2838347
20 C Manolescu, B Owens, A concordance invariant from the Floer homology of double branched covers, Int. Math. Res. Not. 2007 (2007) MR2363303
21 P Ozsváth, Z Szabó, Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary, Adv. Math. 173 (2003) 179 MR1957829
22 P Ozsváth, Z Szabó, Knot Floer homology and the four-ball genus, Geom. Topol. 7 (2003) 615 MR2026543
23 J A Rasmussen, Floer homology and knot complements, Ph.D. thesis, Harvard University (2003)
24 C A Van Cott, An obstruction to slicing iterated Bing doubles, J. Knot Theory Ramifications 22 (2013) MR3070838
25 O J Viro, Branched coverings of manifolds with boundary, and invariants of links, I, Izv. Akad. Nauk SSSR Ser. Mat. 37 (1973) 1241 MR0370605