We consider the class of manifolds with compact Lie group actions which restrict to GKM-actions on the maximal torus. First, we see their GKM-graphs admit symmetry of the Weyl groups. And then, we study its combinatorial abstraction; starting with abstract GKM-graphs with symmetry, we derive certain properties which reflect topology in a purely combinatorial way.
|Number of pages||11|
|Journal||Osaka Journal of Mathematics|
|Publication status||Published - 2015|
All Science Journal Classification (ASJC) codes