On Modular Functors and the Ideal Teichmuller Tower

@inproceedings{Hu2005OnMF,
  title={On Modular Functors and the Ideal Teichmuller Tower},
  author={Po Hu and Igor Kr{\'i}z},
  year={2005}
}
The purpose of this note is to connect certain results of Hatcher, Lochak and Schneps [7] on the Teichmüller tower of mapping class groups with the language of mathematical conformal field theory introduced by Segal [19] as recently made rigorous by the authors ([8], [9], see also [5]). The results of [7] realize a part of Grothendieck’s Esquisse d’un programme ([6]), further explained by Drinfeld [4]. In the present note, we interpret this result in the framework of [8, 9, 5]. In a certain… CONTINUE READING

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