Lecuona, A. G. (2012) On the slice-ribbon conjecture for Montesinos knots. Transactions of the American Mathematical Society, 364(1), pp. 233-285. (doi: 10.1090/S0002-9947-2011-05385-7)
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Abstract
We establish the slice-ribbon conjecture for a family P of Montesinos knots by means of Donaldson’s theorem on the intersection forms of definite 4-manifolds. The 4-manifolds that we consider are obtained by plumbing disc bundles over S2 according to a star-shaped negative-weighted graph with 3 legs such that: i) the central vertex has weight less than or equal to −3; ii) − total weight − 3 #vertices < −1. The Seifert spaces which bound these 4-dimensional plumbing manifolds are the double covers of S3 branched along the Montesinos knots in the family P.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Garcia Lecuona, Professor Ana |
| Authors: | Lecuona, A. G. |
| 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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