Geometry, Topology and Physics: Proceedings of the First Brazil-USA Workshop held in Campinas, Brazil, June 30-July 7, 1996Boris N. Apanasov, Steven B. Bradlow, Waldyr A. Rodrigues, Karen K. Uhlenbeck The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications. |
Contents
| 1 | |
Quasiconformality and geometrical finiteness in CarnotCarathéodory and negatively curved spaces | 35 |
Special submanifolds of S6 with its G2 geometry | 59 |
Some geometrical aspects of the 2dimensional Toda equations | 69 |
A new look at the vortex equations and dimensional reduction | 83 |
The universal cover of an affine threemanifold with holonomy of discompactedness two | 107 |
Geometric quantization for the moduli space of vector bundles with parabolic structure | 119 |
The eta invariant manifolds of positive scalar curvature and equivariant bordism | 157 |
Focal decomposition in geometry arithmetic and physics | 213 |
Simple type is not a boundary phenomenon | 233 |
On the homology cobordism group of homology 3spheres | 245 |
θvacua in the light front quantized Schwinger model | 259 |
Clifford algebras and Wittens monopole equations | 277 |
Sobolev classes and quasiconformal mappings on CarnotCarathéodory spaces | 301 |
Harmonic maps and morphisms in 4 dimensions | 317 |
Open Problems Session | 335 |
Locally conformally Kählerian structures on complex manifolds and uniformization | 173 |
A topological method for finding nonabsolute minima for the YangMills functional with Dirichlet data | 191 |
Some remarks on equivariant harmonic and nonholomorphic maps in Riemannian manifolds | 201 |
List of Contributors | 341 |
List of Participants | 345 |
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Common terms and phrases
4-manifolds affine associated triple boundary Clifford algebra cohomogeneity compact Lie complex hyperbolic complex structure corresponding curvature tensor defined denote diffeomorphic dimension dimensional Dirac embedding equations equivalent equivariant Euler characteristic exp(Ax flat Floer homology focal decomposition foliation function fundamental group gauge geodesic Geom geometrically finite harmonic maps harmonic morphism Hermitian holomorphic holomorphic bundle holonomy homeomorphism homology spheres Hopf integral invariant isometries isomorphism Kähler form Kähler manifolds Kählerian Lemma Lie algebra line bundle Math metric of positive minimal moduli space obtained parabolic positive scalar curvature problem Proof Proposition quantization quasiconformal quaternionic rank representation result Riemann surface Riemannian manifolds scalar curvature Section simply connected smooth solutions spin spinor subgroup submanifolds superminimal Theorem theory topology triple of subalgebras triples h vector bundles vector field weakly conformal Yang-Mills