Discontinuous Groups and Riemann Surfaces: Proceedings of the 1973 Conference at the University of Maryland

by Leon Greenberg (Editor)

Overview

Study 79 contains a collection of papers presented at the Conference on Discontinuous Groups and Ricmann Surfaces at the University of Maryland, May 21-25, 1973. The papers, by leading authorities, deal mainly with Fuchsian and Kleinian groups, Teichmüller spaces, Jacobian varieties, and quasiconformal mappings. These topics are intertwined, representing a common meeting of algebra, geometry, and analysis.

Product Details

ISBN-13:	9780691081380
Publisher:	Princeton University Press
Publication date:	04/21/1974
Series:	Annals of Mathematics Studies , #79
Pages:	452
Product dimensions:	6.00(w) x 9.00(h) x (d)

Table of Contents

• Frontmatter, pg. i
• PREFACE, pg. v
• CONTENTS, pg. vii
• CONSTRUCT ABILITY AND BERS STABILITY OF KLEINIAN GROUPS, pg. 1
• ALGEBRAIC CURVES AND HALF-CANONICAL LINEAR SERIES, pg. 13
• SUFFICIENT CONDITIONS FOR QUASI-CONFORMAL EXTENSION, pg. 23
• FUNDAMENTAL DOMAINS FOR KLEINIAN GROUPS, pg. 31
• SPACES OF DEGENERATING RIEMANN SURFACES, pg. 43
• MAPPING CLASS GROUPS OF SURFACES: A SURVEY, pg. 57
• A NOTE ON L2 ( Γ \ G ), pg. 73
• ON THE OUTRADIUS OF FINITE-DIMENSIONAL TEICHMÜLLER SPACES, pg. 75
• SOME DIRECT LIMITS OF PRIMITIVE HOMOTOPY WORDS AND OF MARKOFF GEODESICS, pg. 81
• ON THE CARATHÉODORY METRIC IN TEICHMÜLLER SPACES, pg. 99
• SOME REFINEMENTS OF THE POINCARÉ PERIOD RELATION, pg. 105
• REMARKS ON AUTOMORPHISMS OF COMPACT RIEMANN SURFACES, pg. 121
• THE STRUCTURE OF PSL2(R );R , THE RING OF INTEGERS IN A EUCLIDEAN QUADRATIC IMAGINARY NUMBER FIELD, pg. 145
• QUASI-CONFORMAL MAPPINGS AND LEBESGUE DENSITY, pg. 171
• ON THE MODULI OF COMPACT RIEMANN SURFACES WITH A FINITE NUMBER OF PUNCTURES, pg. 181
• MAXIMAL GROUPS AND SIGNATURES, pg. 207
• COMMENSURABLE GROUPS OF MOEBIUS TRANSFORMATIONS, pg. 227
• CHABAUTY SPACES OF DISCRETE GROUPS, pg. 239
• MONODROMY GROUPS AND LINEARLY POLYMORPHIC FUNCTIONS, pg. 247
• COLLARS ON RIEMANN SURFACES, pg. 263
• DEFORMATIONS OF CERTAIN COMPLEX MANIFOLDS, pg. 269
• ON THE A (Γ ) ⊂ Bq(Γ ) CONJECTURE FOR INFINITELY GENERATED GROUPS, pg. 283
• THE FUNDAMENTAL GROUPS OF CERTAIN SUBGROUP SPACES, pg. 289
• MODULAR GROUPS AND FIBER SPACES OVER TEICHMÜLLER SPACES, pg. 297
• UNIVERSAL PROPERTIES OF FUCHSIAN GROUPS IN THE POINCARÉ METRIC, pg. 315
• REMARKS ON COMPLEX MULTIPLICATION AND SINGULAR RIEMANN MATRICES, pg. 341
• INTERSECTIONS OF COMPONENT SUBGROUPS OF KLEINIAN GROUPS, pg. 349
• POLYNOMIAL APPROXIMATION IN THE BERS SPACES, pg. 369
• SIMPLE ILLUSTRATIONS OF THE USES OF EXPLICIT COMPUTATION OF THETA CONSTANTS, pg. 379
• ON THE RELATION BETWEEN LOCAL AND GLOBAL PROPERTIES OF BOUNDARY VALUES FOR EXTREMAL QUASI-CONFORMAL MAPPINGS, pg. 391
• SYMMETRIC EMBEDDINGS OF RIEMANN SURFACES, pg. 409
• ON THE TRAJECTORY STRUCTURE OF QUADRATIC DIFFERENTIALS, pg. 419
• THE MAXIMAL INSCRIBED BALL OF A FUCHSIAN GROUP, pg. 439
• Backmatter, pg. 445