Corpus ID: 16296122

Torelli buildings and their automorphisms

  title={Torelli buildings and their automorphisms},
  author={B. Farb and N. Ivanov},
  journal={arXiv: Geometric Topology},
  • B. Farb, N. Ivanov
  • Published 2014
  • Mathematics
  • arXiv: Geometric Topology
  • In this paper we introduce, for each closed orientable surface, an analogue of Tits buildings adjusted to investigation of the Torelli group of this surface. It is a simplicial complex with some additional structure. We call this complex with its additional structure the Torelli building of the surface in question. The main result of this paper shows that Torelli buildings of surfaces of genus at least 5 have only obvious automorphisms, and identifies its group of automorphisms. Namely, we… CONTINUE READING
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