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Generic knots in contact 3-manifolds
| Title: | Generic knots in contact 3-manifolds |
| Authors: | Adachi, J. Browse this author |
| Keywords: | Contact structures | | Characteristic foliations |
| Issue Date: | 1-Mar-1999 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 453 |
| Start Page: | 1 |
| End Page: | 14 |
| Abstract: | The notion of the generic knots in contact 3-manifolds is introduced, in this paper, as an extension of that of the transversal knots. We show that any generic knots in contact 3-manifolds are constructed by perturbations of some Legendrian knots. As for the classification problem, the situation is completely different from the cases of the transversal and Legcndrian knots. Two generic knots in a contact 3-manifold arc generically isotopic if and only if they have the same number of nontransversal points and-belong to the same topological knot class. We treat, in this paper, not only trivial knots in tight contact 3-manifolds but also non-trivial knots and those in overtwisted contact 3-manifolds. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69203 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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