Period functions for Maass wave forms and cohomology /

The authors construct explicit isomorphisms between spaces of Maass wave forms and cohomology groups for discrete cofinite groups \Gamma\subset\mathrm{PSL}_2({\mathbb{R}}). In the case that \Gamma is the modular group \mathrm{PSL}_2({\mathbb{Z}}) this gives a cohomological framework for the results...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Bruggeman, Roelof W., 1944- (Autor), Lewis, J. (John B), 1944- (Autor), Zagier, Don, 1951- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 2015.
Colección:Memoirs of the American Mathematical Society ; no. 1118.
Temas:
Forms, Modular.
Forms (Mathematics)
Cohomology operations.
Algebraic topology.
Formes modulaires.
Formes (Mathématiques)
Opérations cohomologiques.
Topologie algébrique.
Algebraic topology
Cohomology operations
Forms, Modular
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Introduction
  • Eigenfunctions of the hyperbolic Laplace operator
  • Maass forms and analytic cohomology: cocompact groups
  • Cohomology of infinite cyclic subgroups of PSL₂(R)
  • Maass forms and semi-analytic cohomology: groups with cusps
  • Maass forms and differentiable cohomology
  • Distribution cohomology and Petersson product
  • Bibliography
  • Index
  • List of notations.

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