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arXiv · 1505.02122

On higher holonomy invariants in higher gauge theory II

Roberto Zucchini
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Abstract

This is the second 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. We provide a definition of trace over a crossed module such to yield surface knot invariants upon application to 2-holonomies. We show further that the properties of the trace are best described using the theory quandle crossed modules.

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Roberto Zucchini. 2015-05-08. On higher holonomy invariants in higher gauge theory II. https://doi.org/10.1142/s0219887816500912

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