Research Catalog

Title

Uhlenbeck compactness / Katrin Wehrheim.

Author

Wehrheim, Katrin

Publication

Zürich : European Mathematical Society, c2004.

Items in the Library & Off-site

Details

Description

vii, 212 p. : ill.; 24 cm.

Summary

This book gives a detailed account of the analytic foundations of gauge theory -- Uhlenbeck's compactness theorems for general connections and for Yang-Mills connections. It intends to guide graduate students into the analysis of Yang-Mills theory as well as to serve as a reference for researchers in the field. The book is largely self-contained. It contains a number of appendices including Sobolev spaces of maps between manifolds) and the inhomogenous Neumann problem. The two main parts contain the full proofs of Uhlenbeck's weak and strong compactness theorems on closed manifolds as well as their generalizations to manifolds with boundary and noncompact manifolds. These parts include a number of useful analytic tools such as general patching constructions and local slice theorems.

Series Statement

EMS series of lectures in mathematics

Uniform Title

EMS series of lectures in mathematics

Subject

• Yang-Mills theory
• Gauge fields (Physics)
• Compact groups
• Riemannian manifolds
• Neumann problem

Bibliography (note)

• Includes bibliographical references (p. 211-212) and index.

Processing Action (note)

• committed to retain

Contents

I. Neumann Problem -- 1. L[superscript 2]-Theory -- 2. L[superscript p]-Theory -- 3. Inhomogeneous Boundary Conditions -- 4. Sections of Vector Bundles -- II. Weak Compactness -- 5. Regularity for I-Forms -- 6. Uhlenbeck Gauge -- 7. Patching -- III. Strong Compactness -- 8. Local Slice Theorems -- 9. Yang-Mills Connections -- 10. Proof of Strong Compactness -- IV. Appendix -- A. Gauge Theory -- B. Sobolev Spaces -- C. L[superscript p]-Multipliers, Mollifiers, and Poisson Kernels -- D. Dirichlet Problem -- E. Some Functional Analysis.

ISBN

3037190043

OCLC

• 54504697
• SCSB-10371635

Owning Institutions

Harvard Library