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The eta invariant and the equivariant spin bordism of spherical space form 2 groups

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New Developments in Differential Geometry

Part of the book series: Mathematics and Its Applications ((MAIA,volume 350))

Abstract

We use the eta invariant to compute the equivariant spin bordism groups Ω 5 spin (Z/2 µ ), Ω 3 spin (BQ), and Ω 7 spin (BQ)

Research partially supported by NSF grant DMS 9403360, by MSRI (NSF grant DMS 9022140), and by IHES (France).

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References

  1. M. F. Atiyah, V. K. Patodi, and I. M. Singer, Spectral asymmetry and Riemannian geometry I, II, III, Math. Proc. Cambr. Phil. Soc. 77 (1975) 43–69, 78 (1975) 405–432, 79 (1976) 71–99.

    Article  MathSciNet  Google Scholar 

  2. A. Bahri, M. Bendersky, D. Davis, and P. Gilkey, The complex bordism of groups with periodic cohomology, Trans. AMS V316 (1989), 673–687.

    Article  MathSciNet  MATH  Google Scholar 

  3. B. Botvinnik, P. Gilkey, and S. Stoltz, The Gromov-Lawson-Rosenberg conjecture for groups with periodic cohomology (preprint).

    Google Scholar 

  4. D. Bayen and R. Bruner, The real connective K-homology of BG for groups G with Q 8 as Sylow 2-subgroup, to appear Transactions of the AMS.

    Google Scholar 

  5. P. Gilkey, The eta invariant and the K-theory of odd dimensional spherical space forms, Invent. Math. 76 (1984), 421–453.

    Article  MathSciNet  MATH  Google Scholar 

  6. P. Gilkey, Invariance Theory, the heat equation, and the Atiyah-Singer index theorem 2 nd Ed CRC press (December 94).

    Google Scholar 

  7. P. Gilkey, The geometry of spherical space form groups, World Scientific Press (1980).

    Google Scholar 

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Author information

Authors and Affiliations

  1. Mathematics Department, University of Oregon, Eugene, Oregon, 97403, USA

    Peter B. Gilkey & Boris Botvinnik

Authors
  1. Peter B. Gilkey
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  2. Boris Botvinnik
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Editor information

Editors and Affiliations

  1. Institute of Mathematics and Informatics, Lajos Kossuth University, Debrecen, Hungary

    L. Tamássy

  2. Department of Geometry, Lóránd Eötvös University, Budapest, Hungary

    J. Szenthe

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© 1996 Kluwer Academic Publishers

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Gilkey, P.B., Botvinnik, B. (1996). The eta invariant and the equivariant spin bordism of spherical space form 2 groups. In: Tamássy, L., Szenthe, J. (eds) New Developments in Differential Geometry. Mathematics and Its Applications, vol 350. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0149-0_16

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  • DOI: https://doi.org/10.1007/978-94-009-0149-0_16

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6553-5

  • Online ISBN: 978-94-009-0149-0

  • eBook Packages: Springer Book Archive

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