Skip to main content

Hermitian K-theory in topology: A survey of some recent results

  • Conference paper
  • First Online:
Algebraic K-Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 551))

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  • [AH] J. P. Alexander and G. C. Hamrick, “Torsion G-signature theorem for groups of odd order”, preprint.

    Google Scholar 

  • [ACHV] J. P. Alexander, P. D. Conner, G. C. Hamrick, and J. W. Vick, “Witt Classes of integral representations of an abelian p-group”, Bull. A.M.S., 80 (1974), 1179–1182.

    Article  MATH  MathSciNet  Google Scholar 

  • [C 1] S. Cappell, “Mayer-Vietoris sequences in Hermitian K-theory”, Springer Lecture Notes, No. 343, pp. 478–512

    Google Scholar 

  • [C 2] S. Cappell, “Unitary nilpotent groups and Hermitian K-theory”, preprint.

    Google Scholar 

  • [C 3] S. Cappell, “Splitting obstructions for Hermitian forms and manifolds with \(\mathbb{Z}_2 \subseteq \pi _1\)”.

    Google Scholar 

  • [C' 1] P. Conner, “Metabolic, Hyperbolic, Split”, preprint.

    Google Scholar 

  • [C' 2] P. Conner, “Witt ring invariants for periodic maps”, preprint.

    Google Scholar 

  • [CR] P. Conner and F. Raymond, “The quadratic form on the quotient of a periodic map”, Semigroup Forum.

    Google Scholar 

  • [C S1] S. E. Cappell and Julius L. Shaneson, “The codimension two placement problem and homology equivalent manifolds”, Ann. of Math, 99 (1974), 277–348.

    Article  MATH  MathSciNet  Google Scholar 

  • [C S 2] S. E. Cappell and Julius L. Shaneson, “Piecewise linear embeddings and their singularities”, Ann. of Math., January, 1976.

    Google Scholar 

  • [HS] W.-C. Hsiang and R. Sharpe, “Parameterized surgery and isotopy”, preprint.

    Google Scholar 

  • [HW] A. Hatcher and J. Wagoner, “Pseudo-isotopies of compact manifolds”, Asterisque, 6 (1974)

    Google Scholar 

  • [K] M. Karoubi, “Localisation des formes quadratiques I, II”, Ann. Sc. Ec. Norm. Sup., Paris, 7 (1975), 359–404.

    MATH  MathSciNet  Google Scholar 

  • [M 1] A. Mishchenko, “Homotopy invariants of Manifolds”, Math. of USSR-Izvestya, AMS Translation, 4 (1970), 506–519.

    Article  MATH  Google Scholar 

  • [M 2] A. Mishchenko, “Homotopy invariants of Manifolds III”, Izvestya Akad. Nauk.

    Google Scholar 

  • [Pa] W. Pardon, “The exact sequence of a localization in L-theory”, Princeton University Thesis, 1974.

    Google Scholar 

  • [R] A. Rainicki, “The algebraic theory of surgery”, preprint.

    Google Scholar 

  • [Sh] R. Sharpe, “Surgery on compact manifolds: the bounded evendimensional case”, Ann. Math.

    Google Scholar 

  • [Sp] E. Spanier, Algebraic Topology, McGraw-Hill, New York, 1966.

    MATH  Google Scholar 

  • [SS] J. Shaneson, “Hermitian K-theory in topology”, Springer Lecture Notes, No. 343.

    Google Scholar 

  • [Sw] R. G. Swan, K-Theory of Finite Groups and Orders, Springer Lecture Notes, No. 149.

    Google Scholar 

  • [W] C. T. C. Wall, Surgery on Compact Manifolds, Academic Press, New York, 1971.

    MATH  Google Scholar 

  • [H] J.-C. Hausmann, “Homology sphere bordism and Quillen's plusconstruction”, these proceedings.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Michael R. Stein

Rights and permissions

Reprints and permissions

Copyright information

© 1976 Springer-Verlag

About this paper

Cite this paper

Pardon, W. (1976). Hermitian K-theory in topology: A survey of some recent results. In: Stein, M.R. (eds) Algebraic K-Theory. Lecture Notes in Mathematics, vol 551. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080011

Download citation

  • DOI: https://doi.org/10.1007/BFb0080011

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07996-5

  • Online ISBN: 978-3-540-37964-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics