# Geometry and Topology: Aarhus

Share this page *Edited by *
*Karsten Grove; Ib Henning Madsen; Erik Kjær Pedersen*

This volume includes both survey and research articles on
major advances and future developments in geometry and topology.
Papers include those presented as part of the 5th Aarhus Conference—a
meeting of international participants held in connection with ICM
Berlin in 1998—and related papers on the subject.

This collection of papers is aptly published in the Contemporary
Mathematics series, as the works represent the state of research and
address areas of future development in the area of manifold theory and
geometry. The survey articles in particular would serve well as
supplemental resources in related graduate courses.

#### Readership

Graduate students and researchers in geometry and topology.

# Table of Contents

## Geometry and Topology: Aarhus

- Contents vii8 free
- Complex cobordism of Hilbert manifolds with some applications to flag varieties of loop groups 116 free
- Unique continuation property for Dirac operators, revisited 2136
- Torus actions determined by simple polytopes 3348
- The Torelli group action on representation spaces 4762
- Notes on Seiberg-Witten-Floer theory 7186
- Stability for holomorphic spheres and Morse theory 87102
- Embedded minimal surfaces without area bounds in 3-manifolds 107122
- 0. The spherical space-form problem and minimal surfaces 107122
- 1. Why the area may not be uniformly bounded 109124
- 2. Convergence of minimal surfaces 110125
- 3. Compactness and removable singularities 116131
- 4. Fixed genus 116131
- 5. Applications to minimal surfaces in R3 117132
- Appendix A. Finiteness of the set of minimal surfaces with bounded area 118133
- References 119134

- The cyclotomic trace for symmetric monoidal categories 121136
- Isoparametric submanifolds and symmetric spaces 145160
- Obstructions to homotopy invariance in parametrized fixed point theory 157172
- Lagrangian path intersections and the Leray index 177192
- Associativity in two-cell complexes 185200
- Nonnegative curvature and normal holonomy in open manifolds 197212
- Compactifying infinite group actions 203218
- Positive and negative results concerning the Gromov-Lawson-Rosenberg conjecture 213228
- Stable modules and the structure of Poincaré 3-complexes 227242
- The equivariant cohomology ring of the moduli space of vector bundles over a Riemann surface 249264
- Poincaré embeddings of spheres 263278
- Beginning of analysis on Alexandrov spaces 275290
- Negative curvature and symplectic submanifolds 285300
- On the universal space for group actions with compact isotropy 293308
- The circle transfer and K-theory 307322
- Finite groups possessing gap modules 329344
- Smith equivalence of group modules and the Laitinen conjecture. A survey 343358
- Controlled algebraic K-theory, a survey 351366
- Taut codimension one spheres of odd order 369384
- Bivariant Riemann Roch Theorems 377392