ICAR Research Data Repository for Knowledge Management
POLYNOMIAL REPRESENTATIONS OF KNOTS
DSpace at IIT Bombay
View Archive Info| Field | Value | |
| Title |
POLYNOMIAL REPRESENTATIONS OF KNOTS
|
|
| Creator |
SHASTRI, AR
|
|
| Description |
In this paper, we show that every 1-dimensional knot-type in the three-dimensional Euclidean space has polynomial representations. We also write down specific polynomial expressions for the trefoil knot and the figure eight knot. This result strengthens a conjecture of Abhyankar, that there exist not-rectifiable polynomial embeddings of the complex line in the three-dimensional complex affine space.
|
|
| Publisher |
TOHOKU UNIVERSITY
|
|
| Date |
2011-09-01T07:32:43Z
2011-12-26T12:59:32Z 2011-12-27T05:51:50Z 2011-09-01T07:32:43Z 2011-12-26T12:59:32Z 2011-12-27T05:51:50Z 1992 |
|
| Type |
Article
|
|
| Identifier |
TOHOKU MATHEMATICAL JOURNAL, 44(1), 11-17
0040-8735 http://dx.doi.org/10.2748/tmj/1178227371 http://dspace.library.iitb.ac.in/xmlui/handle/10054/12706 http://hdl.handle.net/10054/12706 |
|
| Language |
en
|
|