Characteristic cycles of standard sheaves associated with open orbits

Abstract

Let G R G_\mathbb R be a real form of a complex, semisimple Lie group G G . We compute the characteristic cycle of a standard sheaf associated with an open G R G_\mathbb R -orbit on the partial flag variety of G G . We apply the result to obtain a Rossmann-type integral formula for elliptic coadjoint orbits. These results were previously obtained by the author under the assumption that the rank of G R G_\mathbb R is equal to the rank of a maximal compact subgroup.