After a thorough treatment of all algebraic structures involved, we address two dimensional
holonomy operators with values in crossed modules of Hopf algebras and in crossed …

We present and study a model of 4–dimensional higher Chern-Simons theory, special
Chern–Simons (SCS) theory, instances of which have appeared in the string literature …

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 …

In this paper, the categories of braided categorical associative algebras and braided
crossed modules of associative algebras are studied. These structures are also correlated …

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 construct an abelian representative for the crossed module associated to the string Lie
algebra. We show how to apply this construction in order to define quasi-invariant tensors …

In this article, we introduce the notions of restricted Lie 2-algebras and crossed modules of
restricted Lie algebras, and give a series of examples of restricted Lie 2-algebras. We also …