Cusp forms associated to loxodromic elements of Kleinian groups

DOI10.1215/S0012-7094-85-05232-9zbMath0587.30044OpenAlexW1520328879MaRDI QIDQ1072678

Irwin Kra

Publication date: 1985

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-85-05232-9

zbMATH Keywords

Poincaré seriesKleinian groupBers spacesEichler cohomology group

Mathematics Subject Classification ID

Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (5)

Eichler-Shimura homology and the finite generation of cusp forms by hyperbolic Poincaré series ⋮ Poincaré series on bounded symmetric domains ⋮ Families of univalent functions and Kleinian groups ⋮ Infinitesimal deformations of nodal stable curves ⋮ SL(2,C), \(H^ 1\) and symmetric tensors

Cites Work

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• On the vanishing of and spanning sets for Poincaré series for cusp forms
• On cohomology of Kleinian groups. IV: Ahlfors-Sullivan construction of holomorphic Eichler integrals
• SL(2,C), \(H^ 1\) and symmetric tensors
• The Fenchel-Nielsen deformation
• A simple proof of Ramanujan's summation of the \(_1\Psi_1\)
• A non-standard integral equation with applications to quasi-conformal mappings
• Modular forms associated to closed geodesics and arithmetic applications
• Monodromy groups and Poincaré series

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