connection for a differential graded algebra
Given a semi-free differential graded algebra over -algebra , a connection in -module is a -linear map
such that for any homogenous element and an element
The curvature of the connection is the restriction of the connection squared to :
A connection is flat (or integrable) iff its curvature vanishes.
See also connection in noncommutative geometry as some versions are close to this approach. A past query on history of the notion of connection for a dga is archived here.
Revised on September 6, 2011 21:24:12
by Zoran Škoda