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Stiefel-Whitney numbers of quaternionic and related manifolds

Stiefel-Whitney numbers of quaternionic and related manifolds

There is considered the image of the symplectic cobordism ring $\Omega _\ast ^{SP}$ in the unoriented cobordism ring ${N_\ast }$. A polynomial subalgebra of ${N_\ast }$ is exhibited, with all generators in dimensions divisible by 16, such that the image is contained in the polynomial subalgebra. The methods combine the …