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Stiefel orientations on a real algebraic variety

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Book cover Real Algebraic Geometry

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1524))

Abstract

Some natural Stiefel orientations on the normal bundle of the fixed point set of an involution on a smooth manifold are constructed. This result is applied to nonsingular real algebraic varieties in order to generalize Rokhlin's construction of complex orientations on a separating real algebraic curve

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References

  1. G. E. Bredon, Introduction to compact transformation groups, Academic Press, New York, London, 1972.

    MATH  Google Scholar 

  2. A. Degtyarev, Cohomology approach to structures on G-bundles (to appear).

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  3. _____, Screwed Steenrod squares and some applications (to appear).

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  4. W. I. Hsiang, Cohomology theory of topological transformation groups, Springer-Verlag, Berlin, Heidelberg, New York, 1975.

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  5. I. Kalinin, Cohomology characteristics of real algebraic hypersurfaces, Algebra i Analis 3 (1991). (Russian)

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  6. V. A. Rokhlin, Complex orientations of real algebraic curves, Funkz. Analis 8 (1974), 71–75. (Russian)

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  7. N. E. Steenrod, D. B. A. Epstein, Cohomology operations, Princeton University Press, Princeton, 1962.

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  8. O. Ya. Viro, Progress in the topology of real algebraic varieties over the last six years, Russian Math. Surveys 41 (1986), 55–82.

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Michel Coste Louis Mahé Marie-Françoise Roy

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© 1992 Springer-Verlag

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Degtyarev, A.I. (1992). Stiefel orientations on a real algebraic variety. In: Coste, M., Mahé, L., Roy, MF. (eds) Real Algebraic Geometry. Lecture Notes in Mathematics, vol 1524. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084621

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  • DOI: https://doi.org/10.1007/BFb0084621

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55992-4

  • Online ISBN: 978-3-540-47337-4

  • eBook Packages: Springer Book Archive

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