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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Generators for the bordism algebra of immersions
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by M. A. Aguilar PDF
Trans. Amer. Math. Soc. 316 (1989), 39-51 Request permission

Abstract:

Let us denote by $I(n,k)$ the group of bordism classes of immersions of closed smooth $n$-manifolds in closed smooth $(n + k)$-manifolds $(k > 0)$. We can make $I({\ast },k)$ into a graded algebra over the unoriented bordism ring. This algebra is polynomial. In this paper we give two sets of immersions which are polynomial generators.
References
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Additional Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 316 (1989), 39-51
  • MSC: Primary 57R90; Secondary 57R42
  • DOI: https://doi.org/10.1090/S0002-9947-1989-0979961-8
  • MathSciNet review: 979961