nLab
principal 3-bundle

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A principal 3-bundle is a G-principal ∞-bundle over a 3-group G.

For G=B 2U(1) the circle Lie 3-group, the total space of a B 2U(1)-principal 3-bundle is modeled by a bundle 2-gerbe.

Connections

See connection on a 3-bundle .

Revised on June 29, 2012 14:03:40 by Urs Schreiber (89.204.138.61)
Edit | Back in time (2 revisions) | See changes | History | Views: Print | TeX | Source | Linked from: nonabelian cohomology, torsor, bundle gerbe, principal bundle, vector bundle, gerbe, principal 2-bundle, principal infinity-bundle, fiber bundle, line bundle, bibundle, circle bundle, determinant line bundle, groupoid principal bundle, associated infinity-bundle, circle n-bundle with connection, bundle 2-gerbe, principal 3-bundle, connection on a 3-bundle, over-(infinity,1)-topos, spinor bundle, over-topos, n-vector bundle, infinity-gerbe, prequantum line bundle, 2-gerbe, complex vector bundle, twisted infinity-bundle, Hopf fibration, double cover, bundles - contents, local coefficient bundle, fiber infinity-bundle, holomorphic vector bundle, prequantum circle n-bundle, associated bundle, geometry of physics -- principal connections, geometry of physics, groupoid-principal infinity-bundle, field (physics), 7d Chern-Simons theory, stable vector bundle, prequantum 0-bundle, 2-vector bundle, line 2-bundle, density, Hopf construction, adjoint bundle, centrally extended groupoid