Corpus ID: 117855605

Higher gauge theory I: 2-Bundles

@article{Bartels2004HigherGT,
  title={Higher gauge theory I: 2-Bundles},
  author={Toby Bartels},
  journal={arXiv: Category Theory},
  year={2004}
}
I categorify the definition of fibre bundle, replacing smooth manifolds with differentiable categories, Lie groups with coherent Lie 2-groups, and bundles with a suitable notion of 2-bundle. To link this with previous work, I show that certain 2-categories of principal 2-bundles are equivalent to certain 2-categories of (nonabelian) gerbes. This relationship can be (and has been) extended to connections on 2-bundles and gerbes. The main theorem, from a perspective internal to this paper, is… Expand
83 Citations
2-group actions and moduli spaces of higher gauge theory
  • 1
  • PDF
Higher gauge theory
  • 141
  • PDF
2 8 Ju n 20 06 Higher Gauge Theory
A global perspective to connections on principal 2-bundles
  • 16
  • PDF
An invitation to higher gauge theory
  • 139
  • PDF
Higher Gauge Theory with String 2-Groups
  • 8
  • PDF
High gauge theory with string 2-groups and higher Poincare lemma
The Classifying Space of a Topological 2-Group
  • 38
  • PDF
Teleparallel Gravity as a Higher Gauge Theory
  • 43
  • PDF
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 34 REFERENCES
Higher Gauge Theory: 2-Connections on 2-Bundles
  • 96
  • PDF
Higher Yang-Mills Theory
  • 82
  • Highly Influential
  • PDF
Higher-Dimensional Algebra V: 2-Groups
  • 321
  • PDF
Higher-Dimensional Algebra VI: Lie 2-Algebras
  • 304
  • PDF
On the classification of Regular Lie groupoids
  • 11
Differential geometry of gerbes
  • 173
  • PDF
Higher gauge theory — differential versus integral formulation
  • 64
  • PDF
Combinatorics of Non-Abelian Gerbes with Connection and Curvature
  • 42
  • PDF
From loop space mechanics to nonabelian strings
  • 27
  • PDF
The classical groups : their invariants and representations
  • 1,773
  • PDF
...
1
2
3
4
...