Title | Holomorphic Functions and Moduli II [electronic resource] : Proceedings of a Workshop held March 13-19, 1986 / edited by D. Drasin, C. J. Earle, F. W. Gehring, I. Kra, A. Marden |
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Imprint | New York, NY : Springer US, 1988 |

Connect to | http://dx.doi.org/10.1007/978-1-4613-9611-6 |

Descript | XIII, 290 p. online resource |

SUMMARY

The Spring 1986 Program in Geometric Function Theory (GFT) at the Mathematical Sciences Research Institute (MSRI) brought together matheยญ maticians interested in Teichmiiller theory, quasiconformal mappings, Kleinian groups, univalent functions and value distribution. It included a large and stimulating Workshop, preceded by a mini-conference on String Theory attended by both mathematicians and physicists. These activities produced interesting results and fruitful interactions among the particiยญ pants. These volumes represent only a portion of the papers that will evenยญ tually result from ideas developed in the offices and corridors of MSRI's elegant home. The Editors solicited contributions from all participants in the Programยญ whether or not they gave a talk at the Workshop. Papers were also submitยญ ted by mathematicians invited but unable to attend. All manuscripts were refereed. The articles included here cover a broad spectrum, representative of the activities during the semester. We have made an attempt to group them by subject, for the reader's convenience. The Editors take pleasure in thanking all participants, authors and refยญ erees for their work in producing these volumes. We are also grateful to the Scientific Advisory Council of MSRI for supยญ porting the Program in GFT. Finally thanks are due to the National Sciยญ ence Foundation and those Universities (including Cornell, Michigan, Minยญ nesota, Rutgers Newark, SUNY Stony Brook) who gave released time to faculty members to participate for extended periods in this program

CONTENT

Fuchsian Groups -- Mostow Rigidity on the Line: A Survey -- Fuchsian Groups and nth Roots of Parabolic Generators -- On the Existence of Elliptics in Subgroups of PSL(2, ?): a Graphical Picture -- The Kernel of the Poincarรฉ Series Operator of Weight โ{128}{148} 2 -- Kleinian Groups and Generalizations -- Strange actions of Groups on Spheres, II -- Quasiconformal Groups and the Conical Limit Set -- Generic Fundamental Polyhedra for Kleinian Groups -- Quasiconformal Actions on Domains in Space -- Convergence and Mรถbius Groups -- The Limit Set of a Discrete Group of Hyperbolic Motions -- A Remark on a Paper by Floyd -- Purely Elliptic Mรถbius Groups -- Teichmรผller Spaces -- Conformally Natural Reflections in Jordan Curves with Applications to Teichmรผller Spaces -- A Theorem of Bers and Greenberg for Infinite Dimensional Teichmรผller Spaces -- A Finiteness Theorem for Holomorphic Families of Riemann Surfaces -- Non-Variational Global Coordinates for Teichmรผller Spaces -- Parameters for Fuchsian Groups I: Signature (0, 4) -- Parametrization of Teichmรผller Spaces by Geodesic Length Functions -- Families of Compact Riemann Surfaces Which do not Admit nth Roots

Mathematics
Mathematical analysis
Analysis (Mathematics)
Mathematics
Analysis