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arXiv · 1505.02121

On higher holonomy invariants in higher gauge theory I

Roberto Zucchini
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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.

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Roberto Zucchini. 2015-05-08. On higher holonomy invariants in higher gauge theory I. https://doi.org/10.1142/s0219887816500900

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