On bundle gerbes over Lie groups:
Characterizing the image of the transgression operation from bundle gerbes (with connection) to complex line bundles (with connection) on the free loop space of their base space as consisting of fusion bundles:
Konrad Waldorf, Transgression to Loop Spaces and its Inverse, I: Diffeological Bundles and Fusion Maps, Cah. Topol. Geom. Differ. Categ., 2012, Vol. LIII, 162-210 [arXiv:0911.3212, cahierstgdc:LIII]
Konrad Waldorf, Transgression to Loop Spaces and its Inverse, II: Gerbes and Fusion Bundles with Connection, Asian Journal of Mathematics 20 1 (2016) 59-116 [arXiv:1004.0031, doi:10.4310/AJM.2016.v20.n1.a4]
Konrad Waldorf, Transgression to Loop Spaces and its Inverse, III: Gerbes and Thin Fusion Bundles, Advances in Mathematics 231 (2012) 3445-3472 [arXiv:1109.0480, doi:10.1016/j.aim.2012.08.016]
On T-folds via principal 2-bundles for the T-duality 2-group:
On geometric T-duality:
On 2-vector bundles for 2-vector spaces regarded (here) as algebras with bimodules between them:
On 2-representations of the string 2-group on 2-vector spaces and the construction of the stringor bundle:
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Last revised on March 16, 2023 at 09:42:01. See the history of this page for a list of all contributions to it.