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gauge transformations on gerbes
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Christoph Wockel  
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 More options Aug 3 2007, 10:02 am
Newsgroups: sci.math.research
From: Christoph Wockel <christoph.woc...@gmx.net>
Date: Fri, 03 Aug 2007 07:02:23 -0700
Local: Fri, Aug 3 2007 10:02 am
Subject: gauge transformations on gerbes
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Hi there,

can anyone help me with finding the appropriate notion of a gauge
transformation on a gerbe (abelian or not)? I would be interested in
particular in lifting gerbes. I tried to find it several times but did
not succeed. My guess would be to define it as a vertical 2-bundle
automorphismsm of the corresponding 2-bundle, but I did not find this
mentioned anywhere... Accordingly, gauge transformations would build
up a 2-group rather than a group.

Thanks for any suggestions,

Christoph


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Maarten Bergvelt  
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 More options Aug 3 2007, 2:34 pm
Newsgroups: sci.math.research
From: Maarten Bergvelt <be...@math.uiuc.edu>
Date: Fri, 3 Aug 2007 18:34:40 +0000 (UTC)
Local: Fri, Aug 3 2007 2:34 pm
Subject: Re: gauge transformations on gerbes
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In article <1186149743.613210.96...@g4g2000hsf.googlegroups.com>,
Christoph Wockel wrote:
> can anyone help me with finding the appropriate notion of a gauge
> transformation on a gerbe (abelian or not)? I would be interested in
> particular in lifting gerbes. I tried to find it several times but did
> not succeed. My guess would be to define it as a vertical 2-bundle
> automorphismsm of the corresponding 2-bundle, but I did not find this
> mentioned anywhere... Accordingly, gauge transformations would build
> up a 2-group rather than a group.

Higher Gauge theory is extensively discussed at the n-category cafe
by John Baez and Urs Schreiber, see
see http://golem.ph.utexas.edu/category/

--
Maarten Bergvelt                


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