Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

• Username
• Password
• Remember me

• Sign in using OpenID
• Remember me

• Forgot your password?
• Apply for membership

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry beauty book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-theory cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeAug 23rd 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexAdded a References-section ([here](https://ncatlab.org/nlab/show/2-vector+bundle#AsAlgebraBundlesWithBimoduleBundlesBetweenThem)) with these pointers: *** The notion of 2-vector bundles based on regarding 2-vector spaces as algebras with bimodules between them ([here](https://ncatlab.org/nlab/show/2-vector+space#ReferencesAsAlgebrasWithBimodules)) is first discussed in * [[Urs Schreiber]], [[Konrad Waldorf]], §4.4 *Connections on non-abelian Gerbes and their Holonomy*, Theory Appl. Categ., **28** 17 (2013) 476-540 &lbrack;[arXiv:0808.1923](https://arxiv.org/abs/0808.1923), [tac:28-17](http://www.tac.mta.ca/tac/volumes/28/17/28-17abs.html)&rbrack; and much further developed in * [[Peter Kristel]], [[Matthias Ludewig]], [[Konrad Waldorf]], *The insidious bicategory of algebra bundles* &lbrack;[arXiv:2204.03900](https://arxiv.org/abs/2204.03900)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/2-vector+bundle/3">diff</a>, <a href="https://ncatlab.org/nlab/revision/2-vector+bundle/3">v3</a>, <a href="https://ncatlab.org/nlab/show/2-vector+bundle">current</a>

   Added a References-section (here) with these pointers:

   ---

   The notion of 2-vector bundles based on regarding 2-vector spaces as algebras with bimodules between them (here) is first discussed in

   • Urs Schreiber, Konrad Waldorf, §4.4 Connections on non-abelian Gerbes and their Holonomy, Theory Appl. Categ., 28 17 (2013) 476-540 [arXiv:0808.1923, tac:28-17]

   and much further developed in

   • Peter Kristel, Matthias Ludewig, Konrad Waldorf, The insidious bicategory of algebra bundles [arXiv:2204.03900]

   diff, v3, current