#### Volume 7, issue 1 (2003)

 1 J W Alexander, Topological invariants of knots and links, Trans. Amer. Math. Soc. 30 (1928) 275 MR1501429 2 D Bar-Natan, On Khovanov's categorification of the Jones polynomial, Algebr. Geom. Topol. 2 (2002) 337 MR1917056 3 G Burde, H Zieschang, Knots, de Gruyter Studies in Mathematics 5, Walter de Gruyter & Co. (1985) MR808776 4 R Crowell, Genus of alternating link types, Ann. of Math. $(2)$ 69 (1959) 258 MR0099665 5 R H Crowell, Nonalternating links, Illinois J. Math. 3 (1959) 101 MR0099667 6 S K Donaldson, An application of gauge theory to four-dimensional topology, J. Differential Geom. 18 (1983) 279 MR710056 7 Y Eliashberg, Classification of contact structures on $\mathbb{R}^3$, Internat. Math. Res. Notices (1993) 87 MR1208828 8 N D Elkies, A characterization of the $\mathbb{Z}^n$ lattice, Math. Res. Lett. 2 (1995) 321 MR1338791 9 R H Fox, Some problems in knot theory, from: "Topology of 3–manifolds and related topics (Proc. The Univ. of Georgia Institute, 1961)", Prentice-Hall (1962) 168 MR0140100 10 K A Frøyshov, The Seiberg–Witten equations and four-manifolds with boundary, Math. Res. Lett. 3 (1996) 373 MR1397685 11 K A Frøyshov, An inequality for the $h$–invariant in instanton Floer theory, Topology 43 (2004) 407 MR2052970 12 K A Frøyshov, Equivariant aspects of Yang–Mills Floer theory, Topology 41 (2002) 525 MR1910040 13 S Garoufalidis, A conjecture on Khovanov's invariants, Fund. Math. 184 (2004) 99 MR2128045 14 E Giroux, lectures at Oberwohlfach (2001) 15 C M Gordon, R A Litherland, On the signature of a link, Invent. Math. 47 (1978) 53 MR0500905 16 L H Kauffman, Formal knot theory, Mathematical Notes 30, Princeton University Press (1983) MR712133 17 L H Kauffman, On knots, Annals of Mathematics Studies 115, Princeton University Press (1987) MR907872 18 M Khovanov, A categorification of the Jones polynomial, Duke Math. J. 101 (2000) 359 MR1740682 19 E S Lee, The support of the Khovanov's invariants for alternating knots, arXiv:math.GT/0201105 20 W B R Lickorish, An introduction to knot theory, Graduate Texts in Mathematics 175, Springer (1997) MR1472978 21 J Milnor, Whitehead torsion, Bull. Amer. Math. Soc. 72 (1966) 358 MR0196736 22 K Murasugi, On the genus of the alternating knot I, II, J. Math. Soc. Japan 10 (1958) 94, 235 MR0099664 23 K Murasugi, On the Alexander polynomial of alternating algebraic knots, J. Austral. Math. Soc. Ser. A 39 (1985) 317 MR802722 24 P Ozsváth, Z Szabó, Holomorphic disks and three-manifold invariants: properties and applications, Ann. of Math. $(2)$ 159 (2004) 1159 MR2113020 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, Heegaard Floer homology and contact structures, Duke Math. J. 129 (2005) 39 MR2153455 27 P Ozsváth, Z Szabó, Holomorphic disks and knot invariants, Adv. Math. 186 (2004) 58 MR2065507 28 P Ozsváth, Z Szabó, Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary, Adv. Math. 173 (2003) 179 MR1957829 29 P Ozsváth, Z Szabó, Knot Floer homology, genus bounds, and mutation, Topology Appl. 141 (2004) 59 MR2058681 30 J A Rasmussen, Floer homology of surgeries on two-bridge knots, Algebr. Geom. Topol. 2 (2002) 757 MR1928176 31 W P Thurston, H E Winkelnkemper, On the existence of contact forms, Proc. Amer. Math. Soc. 52 (1975) 345 MR0375366 32 V Turaev, Torsion invariants of $\mathrm{Spin}^c$–structures on 3–manifolds, Math. Res. Lett. 4 (1997) 679 MR1484699