The Quantum sl(N) Graph Invariant and a Moduli Space

Lobb, Andrew; Zentner, Raphael

Abstract

We associate a moduli problem to a colored trivalent graph; such graphs, when planar, appear in the state-sum description of the quantum sl(N) knot polynomial due to Murakami, Ohtsuki, and Yamada. We discuss how the resulting moduli space can be thought of a representation variety. We show that the Euler characteristic of the moduli space is equal to the quantum sl(N) polynomial of the graph evaluated at unity. Possible extensions of the result are also indicated.

Citation

Lobb, A., & Zentner, R. (2013). The Quantum sl(N) Graph Invariant and a Moduli Space. International Mathematics Research Notices, Advance Access, https://doi.org/10.1093/imrn/rns275

• Journal Article Type: Article
• Publication Date: Jan 7, 2013
• Deposit Date: Sep 19, 2013
• Publicly Available Date: Feb 6, 2014
• Journal: International Mathematics Research Notices
• Print ISSN: 1073-7928
• Electronic ISSN: 1687-0247
• Publisher: Oxford University Press
• Peer Reviewed: Peer Reviewed
• Volume: Advance Access
• DOI: https://doi.org/10.1093/imrn/rns275
• Public URL: https://durham-repository.worktribe.com/output/1469416