Unitary bordism of abelian groups

Unitary bordism of abelian groups
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by Erich Ossa PDF

Proc. Amer. Math. Soc. 33 (1972), 568-571 Request permission

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