The Topology of Analytic Surfaces: Decompositions of Elliptic Surfaces

Kapitel in diesem Buch

1. Frontmatter i
2. Contents v
3. Preface ix
4. A Geometric Property of Bers' Embedding of The Teichmuller Space 1
5. Plane Models for Riemann Surf Aces Admitting Certain Half-Canonical Linear Series, Part I 7
6. Nontriviality of Teichmuller Space for Kleinian Group in Space 21
7. The Action of The Modular Group on The Complex Boundary 33
8. Some Remarks on Bounded Cohomology 53
9. The Dynamics of 2-Generator Subgroups of PSL(2, ℂ) 65
10. Minimal Geodesics on Fricke's Torus-Covering 73
11. On Variation of Projective Structures 87
12. Vanishing Theta Constants 101
13. Analytic Torsion and Prym Differentials 107
14. On a Notion of Quasiconformal Rigidity for Riemann Surf Aces 123
15. Spirals and The Universal Teichmuller Space 145
16. Intersection Matrices for Bases Adapted to Automorphisms of a Compact Riemann Surface 149
17. Homomorphisms of Triangle Groups Into PSL(2, ℂ) 167
18. Hyperbolic Manifolds, Groups and Actions 183
19. Automorphisms of Compact Riemann Surfaces and Weierstrass Points 215
20. Affine and Projective Structures on Riemann Surf Aces 225
21. Boundary Structure of The Modular Group 245
22. A Realization Problem in The Theory of Analytic Curves 253
23. The Monodromy of Projective Structures 257
24. Holomorphic Families of Riemann Surf Aces and Teichmoller Spaces 277
25. Commutators in SL(2, ℂ) 301
26. Two Examples of Covering Surf Aces 305
27. Deformations of Symmetric Products 319
28. Remarks on Projective Structures 343
29. Some Remarks on Kleinian Groups 361
30. Remarks on Web Groups 367
31. Remarks on Fuchsian Groups Associated with Open Riemann Surfaces 377
32. On Generalized Weierstrass Points and Rings with No Prime Elements 391
33. The Topology of Analytic Surfaces: Decompositions of Elliptic Surfaces 403
34. Dense Geodesics in Moduli Space 417
35. Automorphismen Ebener Diskontinuierlicher Gruppen 439
36. Remarks on The Geometry of The Siegel Modular Group 457
37. On The Ergodic Theory at Infinity of an Arbitrary Discrete Group of Hyperbolic Motions 465
38. On Infinite Nielsen Kernels 497
39. Hyperbolic 3-Manifolds which share a Fundamental Polyhedron 505
40. The Length Spectrum as Moduli for Compact Riemann Surfaces 515
41. Backmatter 518