Algebraic & Geometric Topology Volume 10, issue 2 (2010)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Other MSP journals

Ozsváth–Szabó and Rasmussen invariants of cable knots

Cornelia A Van Cott

Algebraic & Geometric Topology 10 (2010) 825–836

DOI: 10.2140/agt.2010.10.825

Bibliography

1	M Hedden, Notions of positivity and the Ozsváth–Szabó concordance invariant arXiv:math/0509499
2	M Hedden, On knot Floer homology and cabling, Algebr. Geom. Topol. 5 (2005) 1197 MR2171808
3	M Hedden, On knot Floer homology and cabling. II, Int. Math. Res. Not. (2009) 2248 MR2511910
4	M Hedden, P Ording, The Ozsváth–Szabó and Rasmussen concordance invariants are not equal, Amer. J. Math. 130 (2008) 441 MR2405163
5	C Kearton, The Milnor signatures of compound knots, Proc. Amer. Math. Soc. 76 (1979) 157 MR534409
6	W B R Lickorish, An introduction to knot theory, Graduate Texts in Math. 175, Springer (1997) MR1472978
7	R A Litherland, Signatures of iterated torus knots, from: "Topology of low-dimensional manifolds (Proc. Second Sussex Conf., Chelwood Gate, 1977)" (editor R A Fenn), Lecture Notes in Math. 722, Springer (1979) 71 MR547456
8	R A Litherland, Cobordism of satellite knots, from: "Four-manifold theory (Durham, N.H., 1982)" (editors C Gordon, R Kirby), Contemp. Math. 35, Amer. Math. Soc. (1984) 327 MR780587
9	C Livingston, Computations of the Ozsváth–Szabó knot concordance invariant, Geom. Topol. 8 (2004) 735 MR2057779
10	P Ozsváth, Z Szabó, Knot Floer homology and the four-ball genus, Geom. Topol. 7 (2003) 615 MR2026543
11	P Ozsváth, Z Szabó, Holomorphic disks and knot invariants, Adv. Math. 186 (2004) 58 MR2065507
12	P Ozsváth, Z Szabó, On knot Floer homology and lens space surgeries, Topology 44 (2005) 1281 MR2168576
13	O Plamenevskaya, Bounds for the Thurston–Bennequin number from Floer homology, Algebr. Geom. Topol. 4 (2004) 399 MR2077671
14	J A Rasmussen, Khovanov homology and the slice genus arXiv:math/0402131
15	J A Rasmussen, Floer homology and knot complements, PhD thesis, Harvard University (2003)
16	L Rudolph, Algebraic functions and closed braids, Topology 22 (1983) 191 MR683760
17	Y Shinohara, On the signature of knots and links, Trans. Amer. Math. Soc. 156 (1971) 273 MR0275415