Reference : On modular symbols and the cohomology of Hecke triangle surfaces
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/11538
On modular symbols and the cohomology of Hecke triangle surfaces
English
Wiese, Gabor mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
2009
International Journal of Number Theory
5
1
89--108
Yes (verified by ORBilu)
International
1793-0421
[en] The aim of this article is to give a concise algebraic treatment of the modular symbols formalism, generalised 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. In all the note a general commutative ring is used as coefficient ring in view of applications to the computation of modular forms over rings different from the complex numbers.
http://hdl.handle.net/10993/11538
10.1142/S1793042109001967
http://dx.doi.org/10.1142/S1793042109001967
2499023 (2010h:11082)

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