Skip to main content

On the topology of algebraic torus actions

Part of the Lecture Notes in Mathematics book series (LNM,volume 1271)

Keywords

  • Algebraic Variety
  • Toric Variety
  • Convex Polyhedron
  • Torus Action
  • Geometric Invariant Theory

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. M. F. Atiyah, Convexity and commuting Hamiltonians, Bull. London Math. Soc. 14, 1–15 (1982)

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. M. F. Atiyah, Angular momentum, convex polyhedra, and algebraic geometry. Proc. Edinburgh Math. Soc. 26 (1983), 121–138

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. A. Bialynicki-Birula and J. Swiecicka, Complete quotients by algebraic torus actions. in Group Actions and Vectorfields (J.B. Carrell, ed). Springer lecture notes in mathematics # 956, Springer-Verlag, New York (1982)

    Google Scholar 

  4. A. Bialynicki-Birula and A. J. Sommese, Quotients by c* and SL(2,c) actions. Trans. Amer. Math. Soc., 1982.

    Google Scholar 

  5. V. I. Danilov, The geometry of toric varieites, Uspekhi Mat. Nauk. 33 (1978), 85–134

    MathSciNet  Google Scholar 

  6. V. Guillemin and S. Sternberg, Convexity properties of the moment mapping, Inv. Math. 67 (1982), 491–513

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. I.M. Gelfand, M. Goresky, R. MacPherson, and V. Serganova, Combinatorial geometries, convex polyhedra, and Schubert cells. to appear in Advances in Mathematics.

    Google Scholar 

  8. F. C. Kirwan, Cohomology of Quotients in Symplectic and Algebraic Geometry. Mathematical Notes #31, Princeton University Press, Princeton N.J. (1984)

    MATH  Google Scholar 

  9. J. Marsden and A. Weinstein, Reduction of symplectic manifolds with symmetry, Reports on Math. Phys. 5 (1974), 121–130

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. D. Mumford and J. Fogarty, Geometric Invariant Theory, (second edition) Springer Verlag, New York (1982)

    CrossRef  MATH  Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Additional information

To T. A. Springer On his sixtieth birthday

Rights and permissions

Reprints and Permissions

Copyright information

© 1987 Springer-Verlag

About this paper

Cite this paper

Goresky, M., MacPherson, R. (1987). On the topology of algebraic torus actions. In: Cohen, A.M., Hesselink, W.H., van der Kallen, W.L.J., Strooker, J.R. (eds) Algebraic Groups Utrecht 1986. Lecture Notes in Mathematics, vol 1271. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0079233

Download citation

  • DOI: https://doi.org/10.1007/BFb0079233

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18234-4

  • Online ISBN: 978-3-540-47834-8

  • eBook Packages: Springer Book Archive