Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Some fibred cobordism groups are not finitely generated
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by L. Astey, P. Greenberg, E. Micha and G. Pastor
Proc. Amer. Math. Soc. 104 (1988), 327-328
DOI: https://doi.org/10.1090/S0002-9939-1988-0958093-3

Abstract:

By showing that certain Pontrjagin classes are fibre cobordism invariants "of connected type" we produce infinitely many examples of fibre cobordism groups which are not finitely generated.
References
  • Francis Bonahon, Cobordisme des difféomorphismes de surfaces, C. R. Acad. Sci. Paris Sér. A-B 290 (1980), no. 16, A765–A767 (French, with English summary). MR 577154
  • André Didierjean, Cobordisme fibré et approximation d’une sous-variété singulière par des sous-variétés $C^{\infty }$, Ann. Inst. Fourier (Grenoble) 33 (1983), no. 1, 277–306 (French). MR 698857
  • —, Cobordisme fibré connexe, preprint.
  • Matthias Kreck, Bordism of diffeomorphisms and related topics, Lecture Notes in Mathematics, vol. 1069, Springer-Verlag, Berlin, 1984. With an appendix by Neal W. Stoltzfus. MR 755877, DOI 10.1007/BFb0101007
  • Paul Melvin, Bordism of diffeomorphisms, Topology 18 (1979), no. 2, 173–175. MR 544157, DOI 10.1016/0040-9383(79)90034-X
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Bibliographic Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 104 (1988), 327-328
  • MSC: Primary 57R90
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0958093-3
  • MathSciNet review: 958093