Divisibility conditions on characteristic numbers of stably symplectic manifolds
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- by D. M. Segal PDF
- Proc. Amer. Math. Soc. 27 (1971), 411-415 Request permission
Abstract:
It is shown that every cohomology characteristic number of an $8k + 4$ [resp. $16k + 8$] dimensional stably symplectic manifold is divisible by 4 [resp. 2] and that certain characteristic numbers of $2$-dimensional stably symplectic manifolds are divisible by 2 and 4. The proofs depend on symplectic cobordism operations. Using explicit manifold constructions of Stong [5] it is shown that these results are to a large extent the best possible.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 27 (1971), 411-415
- MSC: Primary 57.32
- DOI: https://doi.org/10.1090/S0002-9939-1971-0270393-9
- MathSciNet review: 0270393