On cohomology of finitely generated function groups

Autor: Dipendra C. Sengupta
Rok vydání: 1994
Předmět:
Zdroj: Journal d'Analyse Mathématique. 63:1-17
ISSN: 1565-8538
0021-7670
DOI: 10.1007/bf03008417
Popis: Let Γ be a non-elementary finitely generated Kleinian group with region of discontinuity Ω. Letq be an integer,q ≥ 2. The group Λ acts on the right on the vector space Π2q−2 of polynomials of degree less than or equal to 2q − 2 via Eichler action. We note by Aqq(Ω, Λ) the space of cusp forms for Λ of weight (−2q) and the space of parabolic cohomology classes by PH1 (Λ, Π2q−2). Bers introduced an anti-linear map $$\beta _q^* :A^q \left( {\Omega ,\Gamma } \right) - - - \to PH^1 \left( {\Gamma ,\Omega _{2q - 2} } \right)$$ .
Databáze: OpenAIRE
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