Local theory for 2-functors on path 2-groupoids

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00477634" target="_blank" >RIV/67985840:_____/17:00477634 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s40062-016-0140-4" target="_blank" >http://dx.doi.org/10.1007/s40062-016-0140-4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s40062-016-0140-4" target="_blank" >10.1007/s40062-016-0140-4</a>

Result language
angličtina
Original language name
Local theory for 2-functors on path 2-groupoids
Original language description
This article is concerned with 2-functors defined on the path 2-groupoid of a smooth manifold. We set up a procedure to extract local data of such 2-functors, similar to the extraction of transition functions of a fibre bundle. The main result of this paper establishes an equivalence between the globally defined 2-functors and their local data. This is a contribution to a project that provides an axiomatic formulation of connections on (possibly non-abelian) gerbes in terms of 2-functors, of which the present paper provides the first part. The second part provides equivalences between the local data, on one side, and various existing versions of gerbes with connection on the other side.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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