It is shown that every $2 $-shifted Poisson structure on a finitely generated semi-free
commutative differential graded algebra $ A $ defines a very explicit infinitesimal $2 …

We develop a method to construct representations of the homotopy 2-groupoid of a manifold
as a 2-category by means of Chen's formal homology connections. As an application we …

A simplicial analogy of Chen's iterated integral was introduced in another paper. However,
its properties were hardly investigated in the paper. In particular, no mention is made of …

We categorify the notion of an infinitesimal braiding in a linear strict symmetric monoidal
category, leading to the notion of a (strict) infinitesimal 2-braiding in a linear symmetric strict …

In this paper, we construct an analogy of holonomy of connection to simplicial sets using A-
infinity-categories. To construct it, we develop fiberwise integrals on simplicial sets and …

Higher holonomy of formal homology connections and braid cobordisms Page 1 Journal of
Knot Theory and Its Ramifications Vol. 25, No. 12 (2016) 1642007 (14 pages) c© World …

We develop a method to construct representations of the homotopy n-groupoid of a manifold
as an n-category by means of K.-T. Chen's formal homology connections for any positive …

This is a review on representations of the path n-groupoid of a manifold as an n-category
based on iterated integrals developed by K.-T. Chen. We describe higher holonomy functors …