| dc.contributor.advisor | Zhu, Chenchang Prof. Dr. | |
| dc.contributor.author | Li, Du | |
| dc.date.accessioned | 2014-08-13T09:23:59Z | |
| dc.date.available | 2014-08-13T09:23:59Z | |
| dc.date.issued | 2014-08-13 | |
| dc.identifier.uri | http://hdl.handle.net/11858/00-1735-0000-0022-5F4F-A | |
| dc.identifier.uri | http://dx.doi.org/10.53846/goediss-4622 | |
| dc.language.iso | eng | de |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/ | |
| dc.subject.ddc | 510 | de |
| dc.title | Higher Groupoid Actions, Bibundles, and Differentiation | de |
| dc.type | doctoralThesis | de |
| dc.contributor.referee | Zhu, Chenchang Prof. Dr. | |
| dc.date.examination | 2014-07-15 | |
| dc.description.abstracteng | In this thesis, we employ simplicial methods to study actions, principal
bundles and bibundles of higher groupoids. Roughly, we use Kan fibrations
to model actions of higher groupoids; we use pairs of a Kan fibration and
a special acyclic fibration to model principal bundles of higher groupoids;
we use inner Kan fibrations over the interval to model bibundles of higher
groupoids. In particular, we show that our definitions given by the simplicial
method agree with those given by the categorification approach to actions,
principal bundles, and bibundles of 2-groupoids.
In addition, we use the simplicial technique to prove a theorem on
differentiation of higher Lie groupoids, which shows that the differentiation
functor sends a higher Lie groupoid to a higher Lie algebroid. | de |
| dc.contributor.coReferee | Meyer, Ralf Prof. Dr. | |
| dc.subject.eng | higher groupoids; higher Lie groupoids; higher groupoid actions; higher groupoid bibundles; differentiation of higher Lie groupoids | de |
| dc.identifier.urn | urn:nbn:de:gbv:7-11858/00-1735-0000-0022-5F4F-A-2 | |
| dc.affiliation.institute | Fakultät für Mathematik und Informatik | de |
| dc.subject.gokfull | Mathematics (PPN61756535X) | de |
| dc.identifier.ppn | 796514453 | |