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This was announced today at SPS and coffeetable:
John Baez & Urs Schreiber,
Higher Gauge Theory: 2-Connections on 2-Bundles
http://www.arxiv.org/abs/hep-th/0412325
quote from abstract:
"...the concept of ‘2bundle’ recently introduced by Bartels. A 2-bundle is a generalization of a bundle in which the fibers are categories rather than sets. Here we introduce the concept of a ‘2-connection’ on a principal 2-bundle..."
might be important
the arxiv link will not work until next week because of holidays
but the paper (73 pages) can be downloaded from a link Urs gave
Eric Forgy, who sometimes posts at PF, did some pictures for this paper.
Work by Florian Girelli and Hendryk Pfeiffer is cited.
As such things go, the paper looks comparatively readable---at least by categoriphiles.
John Baez & Urs Schreiber,
Higher Gauge Theory: 2-Connections on 2-Bundles
http://www.arxiv.org/abs/hep-th/0412325
quote from abstract:
"...the concept of ‘2bundle’ recently introduced by Bartels. A 2-bundle is a generalization of a bundle in which the fibers are categories rather than sets. Here we introduce the concept of a ‘2-connection’ on a principal 2-bundle..."
might be important
the arxiv link will not work until next week because of holidays
but the paper (73 pages) can be downloaded from a link Urs gave
Eric Forgy, who sometimes posts at PF, did some pictures for this paper.
Work by Florian Girelli and Hendryk Pfeiffer is cited.
As such things go, the paper looks comparatively readable---at least by categoriphiles.
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