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Torsion-Free Modules Over Reduced Witt Rings, Robert W. Fitzgerald
Torsion-Free Modules Over Reduced Witt Rings, Robert W. Fitzgerald
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We compute the genus class group of a torsion-free module over a reduced Witt ring of finite stability index. This is applied to modules locally isomorphic to odd degree extensions of formally real fields.
Knot Factoring, Michael C. Sullivan
Knot Factoring, Michael C. Sullivan
Articles and Preprints
A knot is just a closed loop in a three-dimensional space. Strangely enough, there is a notion of factoring knots and even a prime factoring theorem, due to Horst Schubert. We hope that our presentation of this classic result will be accessible to advanced undergraduates.
Visually Building Smale Flows In S3, Michael C. Sullivan
Visually Building Smale Flows In S3, Michael C. Sullivan
Articles and Preprints
A Smale flow is a structurally stable flow with one dimensional invariant sets. We use information from homology and template theory to construct, visualize and in some cases, classify, Smale flows in the 3-sphere.