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Surveys in Differential Geometry

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Overview

As a service to the mathematics community, the editors of the Journal of Differential Geometry decided to organize a conference, to be held every three years, at which invited speakers would survey the field of differential geometry and related subjects. In choosing the speakers, the editors look at geometry in a very broad way and hope geometers will go beyond the classical perception of other fields. Among the speakers at the conferences are people working in algebraic geometry, mathematical physics and other fields. The speakers are prominent specialists in their respective areas who are able to give a broad overview of recent trends and to make predictions and suggestions for future research. The editors believe that these conferences are useful gatherings for experts and nonexperts alike, and in particular for those who are isolated from the mainstream of activity in geometry. This volume reflects the first conference, which was held at Harvard University in April 1990.
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Editorial Reviews

Booknews
Five papers from the May 1996 conference review results related to the local families index theorem, eta invariants, and the Ray-Singer holomorphic torsion; Thurston's hyperbolization of Haken manifolds; quasi-minimal semi-Euclidean laminations in 3-manifolds; embedded surfaces and gauge theory in three and four dimensions; and the geometry of the Seiberg-Witten invariants. No index. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9781571460677
  • Publisher: International Press of Boston, Incorporated
  • Publication date: 2/1/1999
  • Format: Library Binding
  • Pages: 9

Table of Contents

Reflections on Geometry and Physics 1
The Formation of Singularities in the Ricci Flow 7
Spaces of Algebraic Cycles 137
Problems on rational points and rational curves on algebraic varieties 214
Rectifiability of the singular sets of multiplicity 1 minimal surfaces and energy minimizing maps 246
Homology cobordism and the simplest perturbative Chern-Simons 3-manifold invariant 306
Metabolic cobordism and the simplest perturbative Chern-Simons 3-manifold invariant 414
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