nLab
simplicial connection

Simplicial connection is a connection on a simplicial principal bundle.

• Peter May, Simplicial objects in algebraic topology, djvu

This has been used recently in

• Branislav Jurčo, Crossed module bundle gerbes; classification, string group and differential geometry, math.DG/0510078

There is an unrelated notion of simplicial connection related to numerical methods at simplicial triangulations in

• I. A. Dynnikov, S. P. Novikov, Laplace transforms and simplicial connections, pdf