Transport of a formal power series connection gives holonomy 2- and 3-functors from path 2- and 3-groupoids to cobar-complex categories, including a Gray functor for configuration spaces in n at least 4.
The fundamental Gray 3-groupoid of a smooth manifold and local 3-dimensional holonomy based on a 2-crossed module
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Higher path groupoids and the holonomy of formal power series connections
Transport of a formal power series connection gives holonomy 2- and 3-functors from path 2- and 3-groupoids to cobar-complex categories, including a Gray functor for configuration spaces in n at least 4.