Algebraic & Geometric Topology Volume 16, issue 2 (2016)

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Satellite operators as group actions on knot concordance

Christopher W Davis and Arunima Ray

Algebraic & Geometric Topology 16 (2016) 945–969

DOI: 10.2140/agt.2016.16.945

Bibliography

1	T Abe, I D Jong, Y Omae, M Takeuchi, Annulus twist and diffeomorphic 4–manifolds, Math. Proc. Cambridge Philos. Soc. 155 (2013) 219
2	S Akbulut, A fake compact contractible 4–manifold, J. Differential Geom. 33 (1991) 335 MR1094459
3	S Akbulut, R Kirby, Mazur manifolds, Michigan Math. J. 26 (1979) 259 MR544597
4	S Akbulut, K Yasui, Corks, plugs and exotic structures, J. Gökova Geom. Topol. 2 (2008) 40 MR2466001
5	T D Cochran, C W Davis, A Ray, Injectivity of satellite operators in knot concordance, J. Topol. 7 (2014) 948
6	T D Cochran, B D Franklin, M Hedden, P D Horn, Knot concordance and homology cobordism, Proc. Amer. Math. Soc. 141 (2013) 2193
7	T D Cochran, S Harvey, C Leidy, Primary decomposition and the fractal nature of knot concordance, Math. Ann. 351 (2011) 443 MR2836668
8	T D Cochran, K E Orr, P Teichner, Structure in the classical knot concordance group, Comment. Math. Helv. 79 (2004) 105 MR2031301
9	M H Freedman, The topology of four-dimensional manifolds, J. Differential Geom. 17 (1982) 357 MR679066
10	S L Harvey, Homology cobordism invariants and the Cochran–Orr–Teichner filtration of the link concordance group, Geom. Topol. 12 (2008) 387 MR2390349
11	M Hedden, P Kirk, Instantons, concordance, and Whitehead doubling, J. Differential Geom. 91 (2012) 281
12	J Hempel, 3–manifolds, 86, Princeton Univ. Press (1976) MR0415619
13	R Kirby, editor, Problems in low-dimensional topology, 2, Amer. Math. Soc. (1997) 35
14	A S Levine, Non-surjective satellite operators and piecewise-linear concordance, preprint (2014) arXiv:1405.1125
15	J Levine, Homology cylinders: an enlargement of the mapping class group, Algebr. Geom. Topol. 1 (2001) 243 MR1823501
16	R A Litherland, Signatures of iterated torus knots, from: "Topology of low-dimensional manifolds (Proceedings Second Sussex Conference)" (editor R A Fenn), Lecture Notes in Mathematics 722, Springer (1979) 71 MR547456
17	C Livingston, P Melvin, Abelian invariants of satellite knots, from: "Geometry and topology" (editors J Alexander, J Harer), Lecture Notes in Math. 1167, Springer (1985) 217 MR827271
18	D Rolfsen, Knots and links, 7, Publish or Perish (1990) MR1277811
19	H Schubert, Über eine numerische Knoteninvariante, Math. Z. 61 (1954) 245 MR0072483