#### Volume 4, issue 1 (2004)

 1 M F Atiyah, Elliptic operators, discrete groups and von Neumann algebras, from: "Colloque “Analyse et Topologie” en l'Honneur de Henri Cartan (Orsay, 1974)", Soc. Math. France (1976) MR0420729 2 M Boileau, S Wang, Non-zero degree maps and surface bundles over $S^1$, J. Differential Geom. 43 (1996) 789 MR1412685 3 K S Brown, Cohomology of groups, Graduate Texts in Mathematics 87, Springer (1982) MR672956 4 J C Cha, Fibred knots and twisted Alexander invariants, Trans. Amer. Math. Soc. 355 (2003) 4187 MR1990582 5 T D Cochran, K E Orr, Homology boundary links and Blanchfield forms: concordance classification and new tangle-theoretic constructions, Topology 33 (1994) 397 MR1286923 6 T D Cochran, K E Orr, P Teichner, Knot concordance, Whitney towers and $L^2$–signatures, Ann. of Math. $(2)$ 157 (2003) 433 MR1973052 7 T D Cochran, K E Orr, P Teichner, Structure in the classical knot concordance group, Comment. Math. Helv. 79 (2004) 105 MR2031301 8 T D Cochran, P Teichner, Knot concordance and von Neumann $\rho$–invariants, Duke Math. J. 137 (2007) 337 MR2309149 9 P M Cohn, Skew fields, Encyclopedia of Mathematics and its Applications 57, Cambridge University Press (1995) MR1349108 10 P M Cohn, Free rings and their relations, London Mathematical Society Monographs 19, Academic Press (1985) MR800091 11 J Cheeger, M Gromov, Bounds on the von Neumann dimension of $L^2$–cohomology and the Gauss–Bonnet theorem for open manifolds, J. Differential Geom. 21 (1985) 1 MR806699 12 J Conant, P Teichner, Grope cobordism of classical knots, Topology 43 (2004) 119 MR2030589 13 J Dodziuk, P Linnell, V Mathai, T Schick, S Yates, Approximating $L^2$–invariants and the Atiyah conjecture, Comm. Pure Appl. Math. 56 (2003) 839 MR1990479 14 J Duval, Forme de Blanchfield et cobordisme d'entrelacs bords, Comment. Math. Helv. 61 (1986) 617 MR870709 15 S Garoufalidis, L Rozansky, The loop expansion of the Kontsevich integral, the null-move and $S$–equivalence, Topology 43 (2004) 1183 MR2080000 16 S Garoufalidis, J Levine, Homology surgery and invariants of 3–manifolds, Geom. Topol. 5 (2001) 551 MR1833753 17 C M Gordon, Some aspects of classical knot theory, from: "Knot theory (Proc. Sem., Plans-sur–Bex, 1977)", Lecture Notes in Math. 685, Springer (1978) 1 MR521730 18 K Habiro, Claspers and finite type invariants of links, Geom. Topol. 4 (2000) 1 MR1735632 19 S L Harvey, Higher-order polynomial invariants of 3–manifolds giving lower bounds for the Thurston norm, Topology 44 (2005) 895 MR2153977 20 J Harer, How to construct all fibered knots and links, Topology 21 (1982) 263 MR649758 21 J Hempel, Intersection calculus on surfaces with applications to 3–manifolds, Mem. Amer. Math. Soc. 43 (1983) MR699242 22 G Higman, The units of group-rings, Proc. London Math. Soc. $(2)$ 46 (1940) 231 MR0002137 23 J A Hillman, Alexander ideals of links, Lecture Notes in Mathematics 895, Springer (1981) MR653808 24 N Higson, G Kasparov, preprint (1998) 25 P J Hilton, U Stammbach, A course in homological algebra, Graduate Texts in Mathematics 4, Springer (1971) MR0346025 26 J Howie, H R Schneebeli, Homological and topological properties of locally indicable groups, Manuscripta Math. 44 (1983) 71 MR709846 27 N Jacobson, The Theory of Rings, American Mathematical Society Mathematical Surveys I, American Mathematical Society (1943) MR0008601 28 A Kawauchi, Almost identical imitations of $(3,1)$–dimensional manifold pairs, Osaka J. Math. 26 (1989) 743 MR1040422 29 R Kirby, A calculus for framed links in $S^{3}$, Invent. Math. 45 (1978) 35 MR0467753 30 P Kirk, C Livingston, Twisted Alexander invariants, Reidemeister torsion, and Casson–Gordon invariants, Topology 38 (1999) 635 MR1670420 31 P B Kronheimer, Embedded surfaces and gauge theory in three and four dimensions, from: "Surveys in differential geometry, Vol III (Cambridge, MA, 1996)", Int. Press, Boston (1998) 243 MR1677890 32 P B Kronheimer, Minimal genus in $S^1{\times}M^3$, Invent. Math. 135 (1999) 45 MR1664695 33 J Levine, Knot cobordism groups in codimension two, Comment. Math. Helv. 44 (1969) 229 MR0246314 34 J Levine, Knot modules I, Trans. Amer. Math. Soc. 229 (1977) 1 MR0461518 35 J Lewin, A note on zero divisors in group-rings, Proc. Amer. Math. Soc. 31 (1972) 357 MR0292957 36 V Mathai, Spectral flow, eta invariants, and von Neumann algebras, J. Funct. Anal. 109 (1992) 442 MR1186326 37 J R Munkres, Elements of algebraic topology, Addison-Wesley Publishing Company (1984) MR755006 38 J R Munkres, Topology: a first course, Prentice-Hall (1975) MR0464128 39 D S Passman, The algebraic structure of group rings, Pure and Applied Mathematics, Wiley-Interscience [John Wiley & Sons] (1977) MR470211 40 S Naik, T Stanford, A move on diagrams that generates $S$–equivalence of knots, J. Knot Theory Ramifications 12 (2003) 717 MR1999640 41 A Ranicki, Exact sequences in the algebraic theory of surgery, Mathematical Notes 26, Princeton University Press (1981) MR620795 42 S Roushon, Topology of 3–manifolds and a class of groups arXiv:math.GT/0209121 43 J R Stallings, Constructions of fibred knots and links, from: "Algebraic and geometric topology (Proc. Sympos. Pure Math., Stanford Univ., Stanford, Calif., 1976), Part 2", Proc. Sympos. Pure Math., XXXII, Amer. Math. Soc. (1978) 55 MR520522 44 J Stallings, Homology and central series of groups, J. Algebra 2 (1965) 170 MR0175956 45 B Stenström, Rings of quotients, Grundlehren der Mathematischen Wissenschaften 217, Springer (1975) MR0389953 46 A Stoimenow, Vassiliev invariants on fibered and mutually obverse knots, J. Knot Theory Ramifications 8 (1999) 511 MR1697387 47 R Strebel, Homological methods applied to the derived series of groups, Comment. Math. Helv. 49 (1974) 302 MR0354896 48 G W Whitehead, Elements of homotopy theory, Graduate Texts in Mathematics 61, Springer (1978) MR516508 49 C T C Wall, Surgery on compact manifolds, London Mathematical Society Monographs 1, Academic Press (1970) MR0431216