Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-28T04:37:21.510Z Has data issue: false hasContentIssue false

A Series of Elements of Order 4 in the Symplectic Cobordism Ring

Published online by Cambridge University Press:  20 November 2018

Vladimir V. Vershinin
Affiliation:
Institute of Mathematics, Novosibirsk, 630090 Russia
Aleksandr L. Anisimov
Affiliation:
Magnitogorsk Polytechnic Institute, Magnitogorsk, Russia
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

A series of elements of order 4 in the symplectic cobordism ring is constructed.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1995

References

1. Adams, J. F., Stable homotopy and generalised homology, The University of Chicago Press, Chicago and London, 1974.Google Scholar
2. Alexander, J. C., Cobordism Massey products, Trans. Amer. Math. Soc. 166(1972), 197—214.Google Scholar
3. Ivanovskii, L. N., Cohomology of algebras with simple systems of generators, Siberian Math. J. 14(1973), 864874.Google Scholar
4. Kochman, S. O., The symplectic cobordism ring I, Mem. Amer. Math. Soc. 228(1980).Google Scholar
5. Kochman, S. O., The symplectic cobordism ring II, Mem. Amer. Math. Soc. 271(1982).Google Scholar
6. Kochman, S. O., The Hurewicz image of Ray's elements in MSp*, Proc. Amer. Math. Soc. 94(1985), 715717.Google Scholar
7. Novikov, S. P., The methods of algebraic topology from the viewpoint of cobordism theories, Math. USSR Izv. 1(1967), 827913.Google Scholar
8. Ray, Nigel, Indecomposable in TorsMSp,, Topology 10(1971), 261270.Google Scholar
9. Stong, R. E., Notes on cobordism theory, Princeton University Press, Princeton, 1968.Google Scholar
10. Vershinin, V. V., Computation of the symplectic cobordism ring in dimensions up to 32 and nontriviality of majority of triple products of Ray elements, Siberian Math. J. 24(1983), 41—51.Google Scholar
11. Vershinin, V. V., Cobordism and spectral sequences, Transi. Math. Monographs 130, Amer. Math. Soc, Providence, 1993.Google Scholar