Donald, A. (2014) Embedding Seifert manifolds in S4. Transactions of the American Mathematical Society, 367(1), pp. 559-595. (doi: 10.1090/S0002-9947-2014-06174-6)
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Publisher's URL: http://dx.doi.org/10.1090/S0002-9947-2014-06174-6
Abstract
Using an obstruction based on Donaldson’s theorem on the intersection forms of definite 4-manifolds, we determine which connected sums of lens spaces smoothly embed in S4. We also find constraints on the Seifert invariants of Seifert 3-manifolds which embed in S4 when either the base orbifold is non-orientable or the first Betti number is odd. In addition, we construct some new embeddings and use these, along with the d and μ invariants, to examine the question of when the double branched cover of a 3 or 4 strand pretzel link embeds.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Donald, Mr Andrew |
| Authors: | Donald, A. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Transactions of the American Mathematical Society |
| Publisher: | American Mathematical Society |
| ISSN: | 0002-9947 |
| ISSN (Online): | 1088-6850 |
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