Holomorphic Automorphic Forms and Cohomology

We investigate the correspondence between holomorphic automorphic forms on the upper half-plane with complex weight and parabolic cocycles. For integral weights at least For real weights that are not an integer at least A tool in establishing these results is the relation to cohomology groups with v...

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Hauptverfasser: Bruggeman, Roelof, Choie, YoungJu, Diamantis, Nikolaos
Format: E-Book Buch
Sprache:Englisch
Veröffentlicht: Providence, Rhode Island American Mathematical Society 2018
Ausgabe:1
Schriftenreihe:Memoirs of the American Mathematical Society
Schlagworte:
Automorphic forms
Cohomology operations
Holomorphic functions
Eichler integral
mixed parabolic cohomology
cohomology
harmonic lift
boundary germ
period function
harmonic functions
Holomorphic automorphic form
ISBN:1470428555, 9781470428556
ISSN:0065-9266, 1947-6221
Online-Zugang:Volltext
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Zusammenfassung:We investigate the correspondence between holomorphic automorphic forms on the upper half-plane with complex weight and parabolic cocycles. For integral weights at least For real weights that are not an integer at least A tool in establishing these results is the relation to cohomology groups with values in modules of “analytic boundary germs”, which are represented by harmonic functions on subsets of the upper half-plane. It turns out that for integral weights at least
Bibliographie:May 2018, volume 253, number 1212 (seventh of 7 numbers)
Includes bibliographical references and indexes
ISBN:1470428555
9781470428556
ISSN:0065-9266
1947-6221
DOI:10.1090/memo/1212