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On higher holonomy invariants in higher gauge theory I

High Energy Physics - Theory 2016-08-17 v1 Mathematical Physics Differential Geometry math.MP

Abstract

This is the first of a series of two technical papers devoted to the analysis of holonomy invariants in strict higher gauge theory with end applications in higher Chern--Simons theory. For a flat 2--connection, we define the 2-holonomy of surface knots of arbitrary genus and determine its covariance properties under 1--gauge transformation and change of base data.

Keywords

Cite

@article{arxiv.1505.02121,
  title  = {On higher holonomy invariants in higher gauge theory I},
  author = {Roberto Zucchini},
  journal= {arXiv preprint arXiv:1505.02121},
  year   = {2016}
}

Comments

Latex, 90 pages, 5 figures. Figures may take up to a few seconds to be loaded