Fourier-Deligne Transform

Abstract

10.1.1. In addition to the orientation h → h , h → h" in 9.1.1, we shall consider a new orientation of our graph. Thus, we assume we are given two new maps H → I denoted $h \mapsto \prime h$ and $h \mapsto \prime\prime h$ , such that for any h ∈ H, the subset [h] of I consists precisely of h, "h. Let

$${H_1} = \{ h \in H\left| {\prime h} \right.{\rm{ }} = {\rm{ }}h\prime{\rm{and}}h{\rm{ }} = {\rm{ }}h\} ;{H_2} = {\rm{ }}\{ h{\rm{ }} \in {\rm{ }}H\left| {\prime h} \right.{\rm{ }} = {\rm{ }}h{\rm{and}}h{\rm{ }} = {\rm{ }}h\prime\} .$$