# nLab temporal gauge

### Context

#### Differential cohomology

differential cohomology

## Ingredients

• cohomology

• differential geometry

• ## Connections on bundles

• connection on a bundle

• curvature

• Chern-Weil theory

• ## Higher abelian differential cohomology

• differential function complex

• differential orientation

• ordinary differential cohomology

• differential K-theory

• differential elliptic cohomology

• differential cobordism cohomology

• ## Higher nonabelian differential cohomology

• Chern-Weil theory in Smooth∞Grpd

• ∞-Chern-Simons theory

• ## Fiber integration

• higher holonomy

• fiber integration in differential cohomology

• ## Application to gauge theory

• gauge theory

• gauge field

• quantum anomaly

• # Contents

## Idea

A special kind of gauge fixing condition on a connection on a bundle.

## Definition

Let $X = \mathbb{R}^n \times \mathbb{R}$ a product manifold and let $t : X \to \mathbb{R}$ be the projection on the last factor.

For $A$ a connection on a bundle on $X$, a temporal gauge is a gauge in which

$A_{\partial_t} = 0 \,.$

Created on August 26, 2011 at 19:30:45. See the history of this page for a list of all contributions to it.