13 Actions on Real Trees

Kapitel in diesem Buch

1. Frontmatter i
2. Contents v
3. Preface xi
4. 1 Introduction 1
5. 2 Riemann Surfaces and Orbifolds 19
6. 3 The Fibration Problem: From Infinite to Finite Covers 35
7. 4 The Theorem of Castelnuovo–de Franchis and Its Variants 40
8. 5 Many Fibration Criteria 53
9. 6 Kähler Groups and Trees 67
10. 7 Covering Spaces of Compact Kähler Manifolds and Ends 90
11. 8 Representations into PSL2(C) 106
12. 9 Harmonic Maps to Locally Symmetric Spaces 122
13. 10 Lattices and Groups of Hodge Type 162
14. 11 The Bieri–Neumann–Strebel Invariant 185
15. 12 The Green–Lazarsfeld Set 212
16. 13 Actions on Real Trees 239
17. APPENDICES
18. A Ends of Spaces and Groups 251
19. B Groups Acting on Trees 265
20. C Affine Actions on Hilbert Spaces 283
21. D Harmonic Functions of Finite Energy 305
22. E Potential Theory 317
23. F Nakai’s Theorem 330
24. G Diederich and Mazzilli’s Theorem 341
25. H Harmonic Maps and Nonpositive Hermitian Curvature 350
26. Bibliography 357
27. Index 381