Stieltjes-Wigert and quantum topological invariants
About this item
| Description: |
Tierz, M (Brandeis)
Wednesday 01 July 2009, 12:00-12:30 Discrete Systems and Special Functions |
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| Created: | 2011-03-15 15:11 | ||||
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| Collection: | Discrete Integrable Systems | ||||
| Publisher: | Isaac Newton Institute | ||||
| Copyright: | Tierz, M | ||||
| Language: | eng (English) | ||||
| Credits: |
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| Abstract: | We introduce the Stieltjes-Wigert polynomials and show their utility in the analytical computation of quantum topological invariants. Examples are given, the simplest being the computation of the Witten-Reshetikhin-Turaev invariant. The computation of quantum dimensions, presented in detail, requires an interesting mixture of Stieltjes-Wigert polynomials and key results borrowed from algebraic combinatorics. The relationship with random matrices and the relevance of other set of polynomials, such as the biorthogonal version of the Sieltjes-Wigert polynomials is also discussed. |
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