Introducing Quaternionic Gerbes
微分几何
2007-05-23 v1 范畴论
摘要
The notion of a quaternionic gerbe is presented as a new way of bundling algebraic structures over a four manifold. The structure groupoid of this fibration is described in some detail. The Euclidean conformal group R*SO(4) appears naturally as a (non-commutative) monoidal structure on this groupoid. Using this monoidal structure we indicate the existence of a canonical quaternionic gerbe associated to a conformal structure on a four manifold.
引用
@article{arxiv.math/0009201,
title = {Introducing Quaternionic Gerbes},
author = {Finlay Thompson},
journal= {arXiv preprint arXiv:math/0009201},
year = {2007}
}
备注
14 pages, amslatex. This is an expanded version of lecture given by the auther at the National Research Symposiumon Geometric Analysis and Applications held at The Australian National University Canberra, 26-30 June, 2000