Geometry & Topology Volume 11, issue 4 (2007)

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

Author Index

To Appear

Other MSP Journals

Knot Floer homology of Whitehead doubles

Matthew Hedden

Geometry & Topology 11 (2007) 2277–2338

DOI: 10.2140/gt.2007.11.2277

Bibliography

1	S Akbulut, R Matveyev, Exotic structures and adjunction inequality, Turkish J. Math. 21 (1997) 47 MR1456158
2	S Akbulut, R Matveyev, A convex decomposition theorem for $4$–manifolds, Internat. Math. Res. Notices (1998) 371 MR1623402
3	D Auckly, Surgery numbers of 3–manifolds: a hyperbolic example, from: "Geometric topology (Athens, GA, 1993)", AMS/IP Stud. Adv. Math. 2, Amer. Math. Soc. (1997) 21 MR1470719
4	T D Cochran, R E Gompf, Applications of Donaldson's theorems to classical knot concordance, homology 3–spheres and property $P$, Topology 27 (1988) 495 MR976591
5	E Eftekhary, Filtration of Heegaard Floer homology and gluing formulas (2004) arXiv:math/0410356
6	E Eftekhary, Longitude Floer homology and the Whitehead double, Algebr. Geom. Topol. 5 (2005) 1389 MR2171814
7	M H Freedman, A geometric reformulation of $4$–dimensional surgery, Topology Appl. 24 (1986) 133 MR872483
8	M H Freedman, F Quinn, Topology of $4$–manifolds, Princeton Mathematical Series 39, Princeton University Press (1990) MR1201584
9	R E Gompf, A I Stipsicz, $4$–manifolds and Kirby calculus, Graduate Studies in Mathematics 20, American Mathematical Society (1999) MR1707327
10	M Hedden, On knot Floer homology and cabling, Algebr. Geom. Topol. 5 (2005) 1197 MR2171808
11	M Hedden, On knot Floer homology and cabling, PhD thesis, Columbia University (2005)
12	M Hedden, P Ording, The Ozsváth–Szabó and Rasmussen concordance invariants are not equal
13	M Khovanov, A categorification of the Jones polynomial, Duke Math. J. 101 (2000) 359 MR1740682
14	R Kirby, Problems in Low-Dimensional Topology (1995)
15	W B R Lickorish, An introduction to knot theory, Graduate Texts in Mathematics 175, Springer (1997) MR1472978
16	R Lipshitz, A cylindrical reformulation of Heegaard Floer homology, Geom. Topol. 10 (2006) 955 MR2240908
17	R Lipshitz, Heegaard–Floer invariants of bordered $3$–manifolds, PhD thesis, Stanford University (2006)
18	C Livingston, Computations of the Ozsváth–Szabó knot concordance invariant, Geom. Topol. 8 (2004) 735 MR2057779
19	C Livingston, S Naik, Ozsváth–Szabó and Rasmussen invariants of doubled knots, Algebr. Geom. Topol. 6 (2006) 651 MR2240910
20	C Manolescu, B Owens, A concordance invariant from the Floer homology of double branched covers (2005) arXiv:math.GT/0508065
21	J McCleary, User's guide to spectral sequences, Mathematics Lecture Series 12, Publish or Perish (1985) MR820463
22	Y Ni, Sutured Heegaard diagrams for knots, Algebr. Geom. Topol. 6 (2006) 513 MR2220687
23	P Ording, The knot Floer homology of satellite (1,1) knots, PhD thesis, Columbia University (2006)
24	P S Ozsváth, Z Szabó, Holomorphic triangles and invariants for smooth four-manifolds (2001) arXiv:math.SG/0110169
25	P Ozsváth, Z Szabó, Heegaard Floer homology and alternating knots, Geom. Topol. 7 (2003) 225 MR1988285
26	P Ozsváth, Z Szabó, Knot Floer homology and the four-ball genus, Geom. Topol. 7 (2003) 615 MR2026543
27	P Ozsváth, Z Szabó, Holomorphic disks and knot invariants, Adv. Math. 186 (2004) 58 MR2065507
28	P Ozsváth, Z Szabó, Holomorphic disks and three-manifold invariants: properties and applications, Ann. of Math. $(2)$ 159 (2004) 1159 MR2113020
29	P Ozsváth, Z Szabó, Holomorphic disks and topological invariants for closed three-manifolds, Ann. of Math. $(2)$ 159 (2004) 1027 MR2113019
30	P Ozsváth, Z Szabó, Knot Floer homology and integer surgeries (2005) arXiv:math.GT/0410300
31	P Ozsváth, Z Szabó, Knot Floer homology and rational surgeries (2005) arXiv:math.GT/0504404
32	J Rasmussen, Floer homology of surgeries on two-bridge knots, Algebr. Geom. Topol. 2 (2002) 757 MR1928176
33	J Rasmussen, Floer homology and knot complements, PhD thesis, Harvard University (2003)
34	J Rasmussen, Khovanov homology and the slice genus (2004) arXiv:math.GT/0402131
35	L Rudolph, Quasipositivity as an obstruction to sliceness, Bull. Amer. Math. Soc. $($N.S.$)$ 29 (1993) 51 MR1193540