Not all links are concordant to boundary links
HTML articles powered by AMS MathViewer
- by T. D. Cochran and K. E. Orr PDF
- Bull. Amer. Math. Soc. 23 (1990), 99-106
References
- A. J. Casson and C. McA. Gordon, Cobordism of classical knots, À la recherche de la topologie perdue, Progr. Math., vol. 62, Birkhäuser Boston, Boston, MA, 1986, pp. 181–199. With an appendix by P. M. Gilmer. MR 900252
- A. J. Casson and C. McA. Gordon, On slice knots in dimension three, Algebraic and geometric topology (Proc. Sympos. Pure Math., Stanford Univ., Stanford, Calif., 1976) Proc. Sympos. Pure Math., XXXII, Amer. Math. Soc., Providence, R.I., 1978, pp. 39–53. MR 520521
- Tim D. Cochran, Link concordance invariants and homotopy theory, Invent. Math. 90 (1987), no. 3, 635–645. MR 914853, DOI 10.1007/BF01389182
- Sylvain E. Cappell and Julius L. Shaneson, Link cobordism, Comment. Math. Helv. 55 (1980), no. 1, 20–49. MR 569244, DOI 10.1007/BF02566673
- Sylvain E. Cappell and Julius L. Shaneson, The codimension two placement problem and homology equivalent manifolds, Ann. of Math. (2) 99 (1974), 277–348. MR 339216, DOI 10.2307/1970901
- Michael Freedman and Frank Quinn, Slightly singular $4$-manifolds, Topology 20 (1981), no. 2, 161–173. MR 605655, DOI 10.1016/0040-9383(81)90035-5
- Jonathan A. Hillman, Alexander ideals of links, Lecture Notes in Mathematics, vol. 895, Springer-Verlag, Berlin-New York, 1981. MR 653808, DOI 10.1007/BFb0091682
- J. P. Levine, Link concordance and algebraic closure. II, Invent. Math. 96 (1989), no. 3, 571–592. MR 996555, DOI 10.1007/BF01393697
- J. Levine, Knot cobordism groups in codimension two, Comment. Math. Helv. 44 (1969), 229–244. MR 246314, DOI 10.1007/BF02564525 [LD] J. Le Dimet, Cobordisme d’Enlacement de Disques, Memoir de la Mathematique de France 32, 116, 1988.
- J. Levine, W. Mio, and K. E. Orr, Links with vanishing homotopy invariant, Comm. Pure Appl. Math. 46 (1993), no. 2, 213–220. MR 1199198, DOI 10.1002/cpa.3160460205
- Andrew Ranicki, Exact sequences in the algebraic theory of surgery, Mathematical Notes, vol. 26, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1981. MR 620795
Additional Information
- Journal: Bull. Amer. Math. Soc. 23 (1990), 99-106
- MSC (1985): Primary 57Q45; Secondary 57M25, 57R67, 19G12
- DOI: https://doi.org/10.1090/S0273-0979-1990-15912-9
- MathSciNet review: 1031581