# Tag Info

## Hot answers tagged gauge-theory

Accepted

### About Simon Donaldson's book on four dimensional manifold

Please do not ignore the other author, Peter Kronheimer. Based on all of the material I've read, I do not agree with your belief about the book. I think it is more detailed than you will find ...
• 16.1k

### What is an "Instanton" in classical gauge theory? (to a mathematician)

By itself, a (Yang-Mills) instanton is a classical concept. It is a solution of the classical Yang-Mills equations (considered on a manifold with a Riemannian, rather than a Lorentzian, metric), such ...
• 17.8k
Accepted

• 32.4k
Accepted

### A fibration of classifying spaces

This is an edited extract from a book in preparation (Bruner, Catanzaro, May) tentatively titled Characteristic Classes and is therefore overlong for an answer. This is similar to Denis Nardin's ...
• 29.2k

• 24.5k
Accepted

• 4,386
Accepted

### Different definitions of "charged spinors": "bundle splicing" vs. "twisted spinor bundles"

I'll assume that the vector space "$V$" occuring in constructions (1) and (2) doesn't have to be the same. In that case I'll rename vector space in construction (2) to "$W$." Then ...
• 1,679
Accepted

• 15.8k
Accepted

### What is the space for the coefficients of the connection 1-form of a connection in a vector bundle?

This answer just extends the remark by Liviu Nicolaescu above. For a general connection on a vector bundle with structure group $G$, you cannot say anything about the connection coefficients. (As an ...
• 1,564
I have no idea about the sidequestion. For the main question, there is a general answer applicable for any parallel transport, not only for holonomy. Let $\gamma_{s}$ a family of smooth paths such ...