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On higher holonomy invariants in higher gauge theory II

Published 8 May 2015 in hep-th, math-ph, math.DG, and math.MP | (1505.02122v1)

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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