Geometry & Topology Volume 12, issue 4 (2008)

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Knot concordance and Heegaard Floer homology invariants in branched covers

J Elisenda Grigsby, Daniel Ruberman and Sašo Strle

Geometry & Topology 12 (2008) 2249–2275

DOI: 10.2140/gt.2008.12.2249

Bibliography

1	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
2	J C Cha, C Livingston, Unknown values in the table of knots (2005) arXiv:math/0503125
3	J C Cha, C Livingston, Knotinfo table of knot invariants (2006)
4	T D Cochran, K E Orr, P Teichner, Knot concordance, Whitney towers and $L^2$–signatures, Ann. of Math. $(2)$ 157 (2003) 433 MR1973052
5	T D Cochran, K E Orr, P Teichner, Structure in the classical knot concordance group, Comment. Math. Helv. 79 (2004) 105 MR2031301
6	S K Donaldson, An application of gauge theory to four-dimensional topology, J. Differential Geom. 18 (1983) 279 MR710056
7	J E Grigsby, Combinatorial description of knot Floer homology of cyclic branched covers (2006) arXiv:math/0610238
8	J E Grigsby, Knot Floer homology in cyclic branched covers, Algebr. Geom. Topol. 6 (2006) 1355 MR2253451
9	S Jabuka, S Naik, Order in the concordance group and Heegaard Floer homology, Geom. Topol. 11 (2007) 979 MR2326940
10	B J Jiang, A simple proof that the concordance group of algebraically slice knots is infinitely generated, Proc. Amer. Math. Soc. 83 (1981) 189 MR620010
11	R C Kirby, Problems in low-dimensional topology, from: "Geometric topology (Athens, GA, 1993)", AMS/IP Stud. Adv. Math. 2, Amer. Math. Soc. (1997) 35 MR1470751
12	D A Lee, R Lipshitz, Covering spaces and $\mathbb{Q}$ gradings on Heegaard Floer homology (2006) arXiv:math/0608001
13	A Levine, On knots with infinite smooth concordance order (2008) arXiv:0805.2410
14	P Lisca, Lens spaces, rational balls and the ribbon conjecture, Geom. Topol. 11 (2007) 429 MR2302495
15	P Lisca, Sums of lens spaces bounding rational balls, Algebr. Geom. Topol. 7 (2007) 2141 MR2366190
16	C Livingston, S Naik, Obstructing four-torsion in the classical knot concordance group, J. Differential Geom. 51 (1999) 1 MR1703602
17	C Livingston, S Naik, Knot concordance and torsion, Asian J. Math. 5 (2001) 161 MR1868169
18	C Manolescu, B Owens, A concordance invariant from the Floer homology of double branched covers, Int. Math. Res. Not. IMRN (2007) 21 MR2363303
19	C Manolescu, P Ozsváth, S Sarkar, A Combinatorial Description of Knot Floer Homology (2006) arXiv:0607691
20	C Manolescu, P Ozsváth, Z Szabó, D Thurston, On combinatorial link Floer homology, Geom. Topol. 11 (2007) 2339 MR2372850
21	B Owens, S Strle, Rational homology spheres and the four-ball genus of knots, Adv. Math. 200 (2006) 196 MR2199633
22	P Ozsváth, Z Szabó, Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary, Adv. Math. 173 (2003) 179 MR1957829
23	P Ozsváth, Z Szabó, Knot Floer homology and the four-ball genus, Geom. Topol. 7 (2003) 615 MR2026543
24	P Ozsváth, Z Szabó, Holomorphic disks and knot invariants, Adv. Math. 186 (2004) 58 MR2065507
25	P Ozsváth, Z Szabó, Holomorphic disks and topological invariants for closed three-manifolds, Ann. of Math. $(2)$ 159 (2004) 1027 MR2113019
26	P Ozsváth, Z Szabó, Holomorphic disks, link invariants and the multi-variable Alexander polynomial (2005) arXiv:math/0512286
27	P Ozsváth, Z Szabó, Holomorphic triangles and invariants for smooth four-manifolds, Adv. Math. 202 (2006) 326 MR2222356
28	J Rasmussen, Floer homology and knot complements, PhD thesis, Harvard University (2003) arXiv:math/0306378
29	J Rasmussen, Khovanov homology and the slice genus, to appear in Invent. Math. (2004) arXiv:math/0402131v1
30	J Rasmussen, Knot polynomials and knot homologies, from: "Geometry and topology of manifolds", Fields Inst. Commun. 47, Amer. Math. Soc. (2005) 261 MR2189938
31	S Sarkar, J Wang, A Combinatorial Description of Some Heegaard Floer Homologies (2006) arXiv:math/0607777
32	B The PARI Group, PARI/GP, version \tt2.3.1 (2005)
33	V Turaev, Torsion invariants of $\mathrm{Spin}^c$–structures on $3$–manifolds, Math. Res. Lett. 4 (1997) 679 MR1484699