On modular symbols and the cohomology of Hecke triangle surfaces

@article{Wiese2005OnMS,
  title={On modular symbols and the cohomology of Hecke triangle surfaces},
  author={Gabor Wiese},
  journal={International Journal of Number Theory},
  year={2005},
  volume={05},
  pages={89-108}
}
  • G. Wiese
  • Published 4 November 2005
  • Mathematics
  • International Journal of Number Theory
The aim of this article is to give a concise algebraic treatment of the modular symbols formalism, generalized from modular curves to Hecke triangle surfaces. A sketch is included of how the modular symbols formalism gives rise to the standard algorithms for the computation of holomorphic modular forms. Precise and explicit connections are established to the cohomology of Hecke triangle surfaces and group cohomology. A general commutative ring is used as coefficient ring in view of applications… 
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[1] Donald I. Cartwright and Tim Steger, Application of the Bruhat–Tits tree of SU3(h) to some A2 groups, J. Austral. Math. Soc. Ser. A 64 (1998), no. 3, 329–344. MR MR1623286 (99i:11026) [2] Bruce
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