3 papers
math.AT2026
Spin manifolds with nonzero dual Stiefel-Whitney classes of large grading
Donald M. Davis
The dual Stiefel-Whitney classes wbar_j(M) of a manifold M are elements of H^j(M;Z/2) which give information about embedding and immersing M in Euclidean space. We consider the que…
math.NT2025
Some 2-adic integers related to the odd part of 2^e!
Donald M. Davis
The odd part of 2^e! as e approaches infinity leads to a 2-adic integer z. The bits of z were publicized in OEIS-A359349, where two conjectures were made, relevant to computing z.…
math.AT2025
Orientable manifolds with nonzero dual Stiefel-Whitney classes of largest possible grading
Donald M. Davis
It is known that, for all n, there exist compact differentiable orientable n-manifolds with dual Stiefel-Whitney class wbar_{n-ahat(n)} nonzero, and this is best possible, but the…