Kleinian Groups; Eichler Cohomology and the Complex Theory

Irwin Kra
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Irwin Kra: State University of New York at Stony Brook

A chapter in Quasiconformal Mappings and Analysis, 1998, pp 221-251 from Springer

Abstract: Abstract In this expanded version of an expository lecture delivered at the University of Michigan in honor of Fred Gehring’s seventieth birthday, I discuss the complex analytic theory of finitely generated Kleinian groups. The common theme, for all but the last section, is Eichler cohomology as developed in [29] and [30]1. We follow, however, the notation established in [35]. Our aim is to illustrate the general picture, especially by good examples that can be generalized. Full proofs are found in the articles listed in the bibliography. In order to help the reader2an appendix with some standard definitions and elementary properties has been included.

Keywords: Riemann Surface; Cohomology Class; Parabolic Subgroup; Cusp Form; Automorphic Form (search for similar items in EconPapers)
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-0605-7_14

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DOI: 10.1007/978-1-4612-0605-7_14

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