This is a preview of subscription content, log in via an institution to check access.
References
Andreotti, A., Frankel, T.: The Lefschetz theorem on hyperplane sections. Ann. of Math.69, 713–717 (1959)
Atiyah, M., Singer, I.: The index of elliptic operators: III. Ann. of Math87, 546–604 (1968)
Borel, A.: Seminar on transformation groups. Ann. of Math. studies46, Princeton 1960
Bott, R.: On a theorem of Lefschetz. Mich, Math. J.,6, 211–216 (1959)
Bott, R.: The stable homotopy of the classical groups. Ann. of Math.70, 313–337 (1959)
Bourbaki, N.: Algèbre. Chapitre 6, 7, 2e ed., Paris: Hermann 1964
Bourbaki, N.: Algèbre. Chapitre 9. Paris: Hermann 1959
Browder, W.: Structures onM×R: Proc. Comb. Phil. Soc.67, 337–345 (1965)
Freedman, M.: Codimension-2 Surgery. Princeton thesis, 1973.
Hardy, G. H., Wright, E. M.: An introduction to the theory of numbers. 3rd ed., New York: Oxford University Press 1966
Hirzebruch, F.: Topological methods in algebraic geometry 3rd ed., Berlin-Heidelberg-New York: Springer 1966
Hirzebruch, F.: The signature of ramified converings. In: Global Analysis. Papers in honor of Kodaira, pp. 253–265. Princeton: Princeton University Press 1969
Hsiang, W., Szczarba, R.: On embedding surfaces in 4-manifolds Proc. of Symp. in Pure Math. XXII. Algebraic Topology, 97–103 (1971)
Jänich, K., Ossa, E.: On the signature of an involution. Topology8 27–30 (1969)
Jordan, C.: Calculus of finite differences. New York: Chelsea 1960
Jupp, P.: Classification of certain 6-manifolds. Proc. Camb. Phil. Soc.73, 293–300 (1973)
Kato, M., Matsumoto, Y.: Simply connected surgery of submanifolds in codimension two, I. J. Math. Soc. Japan24, 586–608 (1972)
Kervaire, M., Milnor, J.: Bernoulli numbers, homotopy groups and a theorem of Rohlin. Proc. Internat. Congress Math. 454–458 (1958)
Kervaire, M., Milnor, J.: On 2-spheres in 4-manifolds. PNAS47, 1651–1657 (1961)
Massey, W. S.: Proof of a conjecture of Whitney. Pacific J. Math.31, 143–156 (1969)
Milnor, J.: On simply connected 4-manifolds. International symposium on algebraic topology, p. 122–128. Mexico City: Univ. Nacional Automata de México 1958
Milnor, J.: Morse Theory. Ann. of Math. studies51, Princeton, 1963
Nielsen, N.: Traité élémentaire des nombres de Bernoulli. Paris 1923.
Quinn, F.: Almost canonical inverse images. (To appear in Comm. Math. Helv.)
Rokhlin, V. A.: Two-dimensional submanifolds of four-dimensional manifolds. Functional Analysis and Its Applications5, 39–48 (1971)
Shafarevich, I. R.: Foundations of algebraic geometry. Russian Math. Surveys,24, No. 6, 1–178 (1969)
Spanier, E.: Algebraic Topology. New York: McGraw Hill 1966
Spanier, E.: The homotopy excision theorem. Mich. J. Math.14, 245–255 (1967)
Thom, R.: Quelques propriétés globales des variétés differentiables. Comm. Math. Helv.28, 17–86 (1954)
Thomas, E., Wood, J.: On signatures associated with ramified coverings and embedding problems. Ann. Inst. Fourier23, 229–235 (1973)
Wall, C. T. C.: On simply-connected 4-manifolds. J. London Math. Soc.39, 141–149 (1964)
Wall, C. T. C.: Classification problems in differential topology. V. On certain 6-manifolds. Inventiones math.1, 355–374 (1966)
Author information
Authors and Affiliations
Additional information
Research supported by the National Science Foundation and the Fonds National Suisse
Rights and permissions
About this article
Cite this article
Thomas, E., Wood, J. On manifolds representing homology classes in codimension 2. Invent Math 25, 63–89 (1974). https://doi.org/10.1007/BF01389998
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01389998