Characteristic cycles of discrete series for ๐
-rank one groups
Characteristic cycles of discrete series for ๐
-rank one groups
We determine the characteristic cycles of the discrete series representations for connected <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="double-struck upper R"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi mathvariant="double-struck">R</mml:mi> </mml:mrow> <mml:annotation encoding="application/x-tex">\mathbb {R}</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-rank one linear groups. The computation is made through the moment maps; we determine their fibers and the cohomology in โฆ