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The Jones polynomial and dessins d'enfant
| Content Provider | Semantic Scholar |
|---|---|
| Author | Dasbach, Oliver T. Futer, David Kalfagianni, Efstratia Lin, Xiao-Song Stoltzfus, Neal W. |
| Copyright Year | 2006 |
| Abstract | The Jones polynomial of an alternating link is a certain specialization of the Tutte polynomial of the (planar) checkerboard graph associated to an alternating projection of the link. The Bollobás–Riordan–Tutte polynomial generalizes the Tutte plolynomial of planar graphs to graphs that are embedded in closed surfaces of higher genus (i.e. dessins d’enfant). In this paper we show that the Jones polynomial of any link can be obtained from the Bollobás–Riordan–Tutte polynomial of a certain dessin associated to a link projection. We give some applications of this approach. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://users.math.msu.edu/users/kalfagia/BRT.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0605571v2.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0605571v1.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
