Unitary bordism of abelian groups
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- by Erich Ossa PDF
- Proc. Amer. Math. Soc. 33 (1972), 568-571 Request permission
Abstract:
It is shown that for a finite abelian group G the bordism group of unitary G-manifolds is a free ${U_\ast }$-module on even dimensional generators.References
- P. E. Conner, A bordism theory for actions of an abelian group, Bull. Amer. Math. Soc. 69 (1963), 244–247. MR 146833, DOI 10.1090/S0002-9904-1963-10936-2
- Gary Hamrick and Erich Ossa, Unitary bordism of monogenic groups and isometries, Proceedings of the Second Conference on Compact Transformation Groups (Univ. Massachusetts, Amherst, Mass., 1971) Lecture Notes in Math., Vol. 298, Springer, Berlin, 1972, pp. 172–182. MR 0362365
- Peter S. Landweber, Equivariant bordism and cyclic groups, Proc. Amer. Math. Soc. 31 (1972), 564–570. MR 296969, DOI 10.1090/S0002-9939-1972-0296969-1
- R. E. Stong, Complex and oriented equivariant bordism, Topology of Manifolds (Proc. Inst., Univ. of Georgia, Athens, Ga., 1969) Markham, Chicago, Ill., 1970, pp. 291–316. MR 0273644
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 33 (1972), 568-571
- MSC: Primary 57D90; Secondary 57F99
- DOI: https://doi.org/10.1090/S0002-9939-1972-0293666-3
- MathSciNet review: 0293666