Skip to main content
Log in

Spin cobordism determines real K-theory

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  • [ABP] Anderson, D.W., Brown, E.H., Jr., Peterson, F.P.: The structure of the Spin cobordism ring. Ann. Math.86, 271–298 (1967)

    Article  MathSciNet  Google Scholar 

  • [AH] Anderson, D.W., Hodgkin, L.: The K-theory of Eilenberg-MacLane spaces. Topology7, 317–330 (1968)

    Article  MATH  MathSciNet  Google Scholar 

  • [ABS] Atiyah, M.F., Bott, R., Shapiro, A.: Clifford modules. Topology3 (suppl. 1), 3–38 (1964)

    Article  MathSciNet  Google Scholar 

  • [B] Bousfield, A.K.: The localization of spectra with respect to homology. Topology18, 257–281 (1979)

    Article  MATH  MathSciNet  Google Scholar 

  • [BD] Baum, P., Douglas, R.: K homology and index theory. In: Kadison, R.V. (ed.) Operator Algebras and Applications (Proc. Symp. Pure Math., vol. 38, pp. 117–173) Providence, RI: Am. Math. Soc. 1982

    Google Scholar 

  • [CF] Conner, P.E., Floyd, E.E.: The Relation of Cobordism to K-Theories. (Lect. Notes Math., vol. 28) Berlin Heidelberg New York: Springer 1966

    Google Scholar 

  • [GP] Giambalvo, V., Pengelley, D.: The homology of MSpin. Math. Proc. Camb. Philoc. Soc.95, 427–436 (1984)

    Article  MATH  MathSciNet  Google Scholar 

  • [KS] Kreck, M., Stolz, S.: A geometric interpretation of elliptic homology (to appear)

  • [Lan] Landweber, P.: Homological properties of comodules over MU* (MU) and BP* (BP). Am. J. Math.98, 591–610 (1976)

    Article  MATH  MathSciNet  Google Scholar 

  • [Lan2] Landweber, P. (ed.). Elliptic Curves and Modular Forms in Algebraic Topology. (Lect. Notes Math., vol. 1326) Berlin Heidelberg New York: Springer 1988

    MATH  Google Scholar 

  • [Mah] Mahowald, M.: Personal communication (1989)

  • [Och 1] Ochanine, S.: Modules de SU-bordisme. Applications. Bull. Soc. Math. Fr.115, 257–289 (1987)

    MATH  MathSciNet  Google Scholar 

  • [Och2] Ochanine, S.: Elliptic genera, modular forms over KO*, and the Brown-Kervaire invariant. (Preprint 1989)

  • [Oka] Oka, S.: Multiplications on the Moore spectrum. Mem. Fac. Sci., Kyushu Univ., Ser. A38, 257–276 (1984)

    MATH  MathSciNet  Google Scholar 

  • [Rav] Ravenel, D.: Localization with respect to certain periodic homology theories. Am. J. Math.106, 351–414 (1984)

    Article  MATH  MathSciNet  Google Scholar 

  • [St] Stong, R.E.: Notes on Cobordism Theory. Princeton: Princeton University Press 1968

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Partially supported by the NSF

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hopkins, M.J., Hovey, M.A. Spin cobordism determines real K-theory. Math Z 210, 181–196 (1992). https://doi.org/10.1007/BF02571790

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02571790

Keywords

Navigation