The bordism ring of manifolds with involution
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- by J. C. Alexander PDF
- Proc. Amer. Math. Soc. 31 (1972), 536-542 Request permission
Abstract:
A complete set of representatives is found for the bordism ring of manifolds with involution. The multiplicative structure is expressed in terms of these representatives, and in particular, a set of ring generators can be isolated. Also the constructions involved are used to give an insight into a map of J. M. Boardman.References
- J. M. Boardman, On manifolds with involution, Bull. Amer. Math. Soc. 73 (1967), 136–138. MR 205260, DOI 10.1090/S0002-9904-1967-11683-5 P. E. Conner, Lectures on Boardman’s theory, Mimeographed, University of Virginia, Charlottesville, Va., 1966.
- P. E. Conner and E. E. Floyd, Differentiable periodic maps, Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Band 33, Academic Press, Inc., Publishers, New York; Springer-Verlag, Berlin-Göttingen-Heidelberg, 1964. MR 0176478
- P. E. Conner and E. E. Floyd, Fibring within a cobordism class, Michigan Math. J. 12 (1965), 33–47. MR 179796
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 31 (1972), 536-542
- DOI: https://doi.org/10.1090/S0002-9939-1972-0290379-9
- MathSciNet review: 0290379