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

Peter B. Gilkey

Compositio Mathematica (1988)

  • Volume: 65, Issue: 1, page 33-50
  • ISSN: 0010-437X

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Gilkey, Peter B.. "The eta invariant and the equivariant unitary bordism of spherical space form groups." Compositio Mathematica 65.1 (1988): 33-50. <http://eudml.org/doc/89881>.

@article{Gilkey1988,
author = {Gilkey, Peter B.},
journal = {Compositio Mathematica},
keywords = {index theory; equivariant unitary bordism; eta invariant; self-adjoint elliptic operator},
language = {eng},
number = {1},
pages = {33-50},
publisher = {Kluwer Academic Publishers},
title = {The eta invariant and the equivariant unitary bordism of spherical space form groups},
url = {http://eudml.org/doc/89881},
volume = {65},
year = {1988},
}

TY - JOUR
AU - Gilkey, Peter B.
TI - The eta invariant and the equivariant unitary bordism of spherical space form groups
JO - Compositio Mathematica
PY - 1988
PB - Kluwer Academic Publishers
VL - 65
IS - 1
SP - 33
EP - 50
LA - eng
KW - index theory; equivariant unitary bordism; eta invariant; self-adjoint elliptic operator
UR - http://eudml.org/doc/89881
ER -

References

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  1. 1 M.F. Atiyah, V.K. Patodi and I.M. Singer, Spectral asymmetry and Riemannian geometry I. Math. Proc. Camp. Phil. Soc.77 (1975) 43-69.II. Math. Proc. Camb. Phi. Soc.78 (1975) 405-432.III. Math. Proc. Camb. Phil. Soc.79 (1976) 71-99. Zbl0325.58015MR397797
  2. 2 M. Bendersky and D. Davis, Complex bordism of cyclic 2-groups (to appear). 
  3. 3 A. Bahri and P. Gilkey, The eta invariant, Pinc bordism, and equivariant Spinc bordism for cyclic 2-groupsPacific J. Math128 (1987), 1-24. Zbl0587.58045MR883375
  4. 4 A. Bahri and P. Gilkey, Pin' bordism and equivariant Spinc bordism of cyclic 2-groups, Proceedings of the AMS, 99 (1987), 380-382. Zbl0623.55002MR870805
  5. 5 P.E. Conner and E.E. Floyd, Differentiable Periodic Maps, Springer Verlag (1964). Zbl0111.35601MR176478
  6. 6 K. Fujii, T. Kobayashi, K. Shimomura, M. Sugawara, KO groups of lens spaces modulo powers of two. Hiroshima Math J.8 (1978) 469-489. Zbl0399.55012MR515298
  7. 7 P. Gilkey, The eta invariant and equivariant Spinc bordism for spherical space form groups (to appear). Zbl0645.58037
  8. 8 P. Gilkey, Invariance theory, the heat equation, and the Atiyah-Singer index theorem. Publish or Perish (1984). Zbl0565.58035MR783634
  9. 9 P. Gilkey, The eta invariant and the K-theory of spherical space forms, Inventiones Math.76 (1984) 421-453. Zbl0547.58032MR746537
  10. 10 P. Landweber, Complex bordism of classifying spaces, Proceedings of AMS V2 (1971) 175-179. Zbl0207.53601MR268885
  11. 11 A. Mesneoui, Unitary cobordism and classifying spaces of quaternions (to appear). 
  12. 12 G. Wilson, K-theory invariants for unitary bordism, Quarterly J. Math. V2 (1973) 499-526. Zbl0269.55004MR328963
  13. 13 J. Wolf, Spaces of Constant Curvature, 5th edn, Publish or Perish (1985). Zbl0281.53034MR928600

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