Dissertation/Thesis
The colored Jones function is q-holonomic
| Τίτλος: | The colored Jones function is q-holonomic |
|---|---|
| Συγγραφείς: | Stavros Garoufalidis, Thang T Q Lê, Zeilberger Meets Jones |
| Συνεισφορές: | The Pennsylvania State University CiteSeerX Archives |
| Πηγή: | http://www.msp.warwick.ac.uk/gt/2005/09/gt-2005-09-029s.pdf. |
| Έτος έκδοσης: | 2005 |
| Συλλογή: | CiteSeerX |
| Θεματικοί όροι: | Holonomic functions, Jones polynomial, Knots, WZ algorithm, quantum invariants, D–modules, multisums, hypergeometric functions |
| Περιγραφή: | A function of several variables is called holonomic if, roughly speaking, it is determined from finitely many of its values via finitely many linear recursion relations with polynomial coefficients. Zeilberger was the first to notice that the abstract notion of holonomicity can be applied to verify, in a systematic and computerized way, combinatorial identities among special functions. Using a general state sum definition of the colored Jones function of a link in 3–space, we prove from first principles that the colored Jones function is a multisum of a q–proper-hypergeometric function, and thus it is q–holonomic. We demonstrate our results by computer calculations. |
| Τύπος εγγράφου: | Thesis |
| Περιγραφή αρχείου: | application/pdf |
| Γλώσσα: | English |
| Relation: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.377.2232 |
| Διαθεσιμότητα: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.377.2232 http://www.msp.warwick.ac.uk/gt/2005/09/gt-2005-09-029s.pdf |
| Rights: | Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| Αριθμός Καταχώρησης: | edsbas.95C7CF39 |
| Βάση Δεδομένων: | BASE |
| Η περιγραφή δεν είναι διαθέσιμη |