Geometry of chiral temporal structures. II. The formalism

We develop a mathematical formalism underlying the emergence of enantiosensitive molecular orientation due to photoionization or photoexitation of chiral molecules. We consider geometric quantities such as the Berry connection and Berry curvature in light-driven chiral electronic states in the space of complex light polarization vectors. The parametric dependence of the light-driven electronic wave function on such vectors is based on various possible mutual orientations between the laser field and a chiral molecule. Using the tools of differential geometry, we show how the enantiosensitive observables arise from the geometry of the molecular response in such spaces.