The fundamental Gray 3-groupoid of a smooth manifold and local 3-dimensional holonomy based on a 2-crossed module

Details The fundamental Gray 3-groupoid of a smooth manifold and local 3-dimensional holonomy based on a 2-crossed module The fundamental Gray 3-groupoid of a smooth manifold and local 3-dimensional holonomy based on a 2-crossed module

2009-07-15

arxiv.org/abs/0907.2566v3

Mathematics

Category Theory

Definition of a 2-crossed module corrected. Other minor corrections. 48 Pages

Scientific paper

We define the thin fundamental Gray 3-groupoid $S_3(M)$ of a smooth manifold
$M$ and define (by using differential geometric data) 3-dimensional holonomies,
to be smooth strict Gray 3-groupoid maps $S_3(M) \to C(H)$, where $H$ is a
2-crossed module of Lie groups and $C(H)$ is the Gray 3-groupoid naturally
constructed from $H$. As an application, we define Wilson 3-sphere observables.

Affiliated with

Also associated with

No associations

Rating

The fundamental Gray 3-groupoid of a smooth manifold and local 3-dimensional holonomy based on a 2-crossed module does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The fundamental Gray 3-groupoid of a smooth manifold and local 3-dimensional holonomy based on a 2-crossed module, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The fundamental Gray 3-groupoid of a smooth manifold and local 3-dimensional holonomy based on a 2-crossed module will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-364336