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Geometry and topology, Aarhus : conference on geometry and topology, August 10-16, 1998, Aarhus University, Aarhus, Denmark / Karsten Grove, Ib Henning Madsen, Erik Kjær Pedersen, editors.
- Format:
- Book
- Series:
- Contemporary mathematics (American Mathematical Society) ; 258.
- Contemporary mathematics, 0271-4132 ; 258
- Language:
- English
- Subjects (All):
- Geometry--Congresses.
- Geometry.
- Topology--Congresses.
- Topology.
- Physical Description:
- 1 online resource (410 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [2000]
- Language Note:
- English
- Summary:
- 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.
- Contents:
- ""Contents""; ""Complex cobordism of Hilbert manifolds with some applications to flag varieties of loop groups""; ""Unique continuation property for Dirac operators, revisited""; ""Torus actions determined by simple polytopes""; ""The Torelli group action on representation spaces""; ""Notes on Seiberg-Witten-Floer theory""; ""Stability for holomorphic spheres and Morse theory""; ""Embedded minimal surfaces without area bounds in 3-manifolds""; ""0. The spherical space-form problem and minimal surfaces""; ""1. Why the area may not be uniformly bounded""; ""2. Convergence of minimal surfaces""
- ""3. Compactness and removable singularities""""4. Fixed genus""; ""5. Applications to minimal surfaces in R3""; ""Appendix A. Finiteness of the set of minimal surfaces with bounded area""; ""References""; ""The cyclotomic trace for symmetric monoidal categories""; ""Isoparametric submanifolds and symmetric spaces""; ""Obstructions to homotopy invariance in parametrized fixed point theory""; ""Lagrangian path intersections and the Leray index""; ""Associativity in two-cell complexes""; ""Nonnegative curvature and normal holonomy in open manifolds""; ""Compactifying infinite group actions""
- Notes:
- Description based upon print version of record.
- Includes bibliographical references.
- Description based on print version record.
- ISBN:
- 0-8218-7848-4
- 0-8218-5594-8
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