Towards a 2-dimensional notion of holonomy

Details Towards a 2-dimensional notion of holonomy Towards a 2-dimensional notion of holonomy

2000-09-08

arxiv.org/abs/math/0009082v3

Mathematics

Differential Geometry

30 pages, A4, xypic, epic, eepic

Scientific paper

Previous work (Pradines, 1966, Aof and Brown, 1992) has given a setting for a holonomy Lie groupoid of a locally Lie groupoid. Here we develop analogous 2-dimensional notions starting from a locally Lie crossed module of groupoids. This involves replacing the Ehresmann notion of a local smooth coadmissible section of a groupoid by a local smooth coadmissible homotopy (or free derivation) for the crossed module case. The development also has to use corresponding notions for certain types of double groupoids. This leads to a holonomy Lie groupoid rather than double groupoid, but one which involves the 2-dimensional information.

Affiliated with

Also associated with

No associations

Rating

Towards a 2-dimensional notion of holonomy does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Towards a 2-dimensional notion of holonomy, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Towards a 2-dimensional notion of holonomy will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-203949