Skip to content

DIS

Seminar

Stieltjes-Wigert and quantum topological invariants

Tierz, M (Brandeis)
Wednesday 01 July 2009, 12:00-12:30

Seminar Room 1, Newton Institute

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.

Presentation

[pdf ]

Video

The video for this talk should appear here if JavaScript is enabled.
If it doesn't, something may have gone wrong with our embedded player.
We'll get it fixed as soon as possible.

Back to top ∧