Diagram Uniqueness for Highly Twisted Plats
Duration: 59 mins 53 secs
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About this item
| Description: |
Moriah, Y (Technion - Israel Institute of Technology)
Tuesday 31st January 2017 - 10:00 to 11:00 |
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| Created: | 2017-02-10 10:21 |
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| Collection: | Homology theories in low dimensional topology |
| Publisher: | Isaac Newton Institute |
| Copyright: | Moriah, Y |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | Co-author: Jessica Purcell (Monash U. Melbourne Australia)
In this paper we prove that if a knot or link has a sufficiently complicated plat projection, then that plat projection is unique. More precisely, if a knot or link has a 2m-plat projection, where m is at least 3, each twist region of the plat contains at least three crossings, and n, the length of the plat, satisfies n > 4m(m − 2), then such a projection is unique up to obvious rotations. In particular, this projection gives a canonical form for such knots and links, and thus provides a classification of these links. |
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