• Corpus ID: 203951946

# Mapping class groups, skein algebras and combinatorial quantization

@article{Faitg2019MappingCG,
title={Mapping class groups, skein algebras and combinatorial quantization},
author={Matthieu Faitg},
journal={arXiv: Quantum Algebra},
year={2019}
}
• Matthieu Faitg
• Published 16 September 2019
• Mathematics
• arXiv: Quantum Algebra
Les algebres L(g,n,H) ont ete introduites par Alekseev-Grosse-Schomerus et Buffenoir-Roche au milieu des annees 1990, dans le cadre de la quantification combinatoire de l'espace de modules des G-connexions plates sur la surface S(g,n) de genre g avec n disques ouverts enleves. L'algebre de Hopf H, appelee algebre de jauge, etait a l'origine le groupe quantique U_q(g), avec g=Lie(G). Dans cette these nous appliquons les algebres L(g,n,H) a la topologie en basses dimensions (groupe de diffeotopie…
1 Citations
The algebra $\mathcal{L}_{g,n}(H)$ was introduced by Alekseev-Grosse-Schomerus and Buffenoir-Roche and quantizes the character variety of the Riemann surface $\Sigma_{g,n}\!\setminus\! D$ ($D$ is an

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