Focal decomposition in geometry, arithmetic and physics

Kapitel in diesem Buch

1. I-IV I
2. Preface V
3. Table of Contents VII
4. Program of the Workshop IX
5. Compact cohomogeneity one Riemannian manifolds of positive Euler characteristic and quaternionic Kahler manifolds 1
6. Quasiconformality and geometrical finiteness in Carnot-Caratheodory and negatively curved spaces 35
7. Special submanifolds of S6 with its G2 geometry 59
8. Some geometrical aspects of the 2-dimensional Toda equations 69
9. A new look at the vortex equations and dimensional reduction 83
10. The universal cover of an affine three-manifold with holonomy of discompactedness two 107
11. Geometric quantization for the moduli space of vector bundles with parabolic structure 119
12. The eta invariant, manifolds of positive scalar curvature, and equivariant bordism 157
13. Locally conformally Kählerian structures on complex manifolds and uniformization 173
14. A topological method for finding non-absolute minima for the Yang-Mills functional with Dirichlet data 191
15. Some remarks on equivariant harmonic and non-holomorphic maps in Riemannian manifolds 201
16. Focal decomposition in geometry, arithmetic and physics 213
17. Simple type is not a boundary phenomenon 233
18. On the homology cobordism group of homology 3-spheres 245
19. θ-vacua in the light front quantized Schwinger model 259
20. Clifford algebras and Witten's monopole equations 277
21. Sobolev classes and quasi-conformal mappings on Carnot-Caratheodory spaces 301
22. Harmonic maps and morphisms in 4 dimensions 317
23. Open Problems Session 335
24. List of Contributors 341
25. List of Participants 345