The cobordism of Real manifolds

Po Hu

Fundamenta Mathematicae (1999)

  • Volume: 161, Issue: 1-2, page 119-136
  • ISSN: 0016-2736

Abstract

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We calculate completely the Real cobordism groups, introduced by Landweber and Fujii, in terms of homotopy groups of known spectra.

How to cite

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Hu, Po. "The cobordism of Real manifolds." Fundamenta Mathematicae 161.1-2 (1999): 119-136. <http://eudml.org/doc/212395>.

@article{Hu1999,
abstract = {We calculate completely the Real cobordism groups, introduced by Landweber and Fujii, in terms of homotopy groups of known spectra.},
author = {Hu, Po},
journal = {Fundamenta Mathematicae},
keywords = {real cobordism; real manifolds},
language = {eng},
number = {1-2},
pages = {119-136},
title = {The cobordism of Real manifolds},
url = {http://eudml.org/doc/212395},
volume = {161},
year = {1999},
}

TY - JOUR
AU - Hu, Po
TI - The cobordism of Real manifolds
JO - Fundamenta Mathematicae
PY - 1999
VL - 161
IS - 1-2
SP - 119
EP - 136
AB - We calculate completely the Real cobordism groups, introduced by Landweber and Fujii, in terms of homotopy groups of known spectra.
LA - eng
KW - real cobordism; real manifolds
UR - http://eudml.org/doc/212395
ER -

References

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  10. [10] M. Fujii, Cobordism theory with reality, Math. J. Okayama Univ. 18 (1976), 171-188. Zbl0334.55017
  11. [11] M. Fujii, On the relation of real cobordism to KR-theory, ibid. 19 (1977), 147-158. Zbl0375.55004
  12. [12] M. Fujii, Bordism theory with reality and duality theorem of Poincaré type, ibid. 30 (1988), 151-160. Zbl0702.57016
  13. [13] I. Kriz, A Real analogue of the Adams-Novikov spectral sequence, in preparation. Zbl0967.55010
  14. [14] P. S. Landweber, Fixed point free conjugations on complex manifolds, Ann. of Math. (2) 86 (1967), 491-502. Zbl0179.28503
  15. [15] P. S. Landweber, Conjugations on complex manifolds and equivariant homotopy of MU, Bull. Amer. Math. Soc. 74 (1968), 271-274. Zbl0181.26801
  16. [16] L. G. Lewis, J. P. May and M. Steinberger, Equivariant Stable Homotopy Theory, with contributions by J. E. McClure, Lecture Notes in Math. 1213, Springer, Berlin, 1986. 
  17. [17] J. Milnor, Differentiable Topology, Princeton Univ. Press, 1958. 
  18. [18] J. Milnor and J. W. Stasheff, Characteristic Classes, Princeton Univ. Press and Univ. of Tokyo Press, 1974. 
  19. [19] R. E. Stong, Notes on Cobordism Theory, Princeton Univ. Press, 1968. Zbl0181.26604
  20. [20] A. G. Wasserman, Equivariant differential topology, Topology 8 (1969), 127-150. Zbl0215.24702

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