Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Uhlenbeck Compactness
 
Katrin Wehrheim Princeton University, Princeton, NJ
A publication of European Mathematical Society
Uhlenbeck Compactness
Softcover ISBN:  978-3-03719-004-3
Product Code:  EMSSERLEC/1
List Price: $45.00
AMS Member Price: $36.00
Please note AMS points can not be used for this product
Uhlenbeck Compactness
Click above image for expanded view
Uhlenbeck Compactness
Katrin Wehrheim Princeton University, Princeton, NJ
A publication of European Mathematical Society
Softcover ISBN:  978-3-03719-004-3
Product Code:  EMSSERLEC/1
List Price: $45.00
AMS Member Price: $36.00
Please note AMS points can not be used for this product
  • Book Details
     
     
    EMS Series of Lectures in Mathematics
    Volume: 12003; 250 pp
    MSC: Primary 53; Secondary 58

    This book gives a detailed account of the analytic foundations of gauge theory, namely, Uhlenbeck's compactness theorems for general connections and for Yang-Mills connections. It guides graduate students into the analysis of Yang-Mills theory as well as serves as a reference for researchers in the field.

    The volume 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 \(L^p\)-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.

    The book is suitable for graduate students and research mathematicians interested in differential geometry, global analysis, and analysis on manifolds.

    A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.

    Readership

    Graduate students and research mathematicians interested in differential geometry, global analysis, and analysis on manifolds.

  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 12003; 250 pp
MSC: Primary 53; Secondary 58

This book gives a detailed account of the analytic foundations of gauge theory, namely, Uhlenbeck's compactness theorems for general connections and for Yang-Mills connections. It guides graduate students into the analysis of Yang-Mills theory as well as serves as a reference for researchers in the field.

The volume 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 \(L^p\)-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.

The book is suitable for graduate students and research mathematicians interested in differential geometry, global analysis, and analysis on manifolds.

A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.

Readership

Graduate students and research mathematicians interested in differential geometry, global analysis, and analysis on manifolds.

Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.