• Corpus ID: 203951946

Mapping class groups, skein algebras and combinatorial quantization

  title={Mapping class groups, skein algebras and combinatorial quantization},
  author={Matthieu Faitg},
  journal={arXiv: Quantum Algebra},
  • 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… 
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