Monodromy is the name for the action of the the homotopy groups of a space on fibers of covering spaces or locally constant ∞-stacks on .
Let be an (∞,1)-topos and an object. At least in nice situations the locally constant ∞-stacks on , represented by morphisms are equivalently encoded by the adjunct morphism out of the bare path ∞-groupoid. This morphism exhibits the monodromy of the locally constant ∞-stack.
Specifically, the restriction to the delooping of the loop space object at a chosen baspoint is the monodromy action of loops based at on the fiber of the locally constant -stack over .
- Monodromy trasnformation, at Springer eom
Revised on September 8, 2010 17:59:39
by Zoran Škoda