TY  - BOOK
AU  - Wehrheim,Katrin
AU  - Wehrheim,Katrin
TI  - Uhlenbeck Compactness
T2  - EMS Series of Lectures in Mathematics (ELM)
SN  - 9783037195048
PY  - 2004///
CY  - Zuerich, Switzerland
PB  - European Mathematical Society Publishing House
KW  - Functional analysis
KW  - bicssc
KW  - Global analysis, analysis on manifolds
KW  - msc
KW  - Partial differential equations
KW  - Quantum theory
N1  - Restricted to subscribers
N2  - 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 (e.g. on Sobolev spaces of maps between manifolds) and an introductory part covering the Lp-regularity theory for 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
UR  - https://doi.org/10.4171/004
UR  - http://www.ems-ph.org/img/books/wehrheim_mini.jpg
ER  -