Weyl group symmetry on the gkm graph of a gkm manifold with an extended lie group action

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Abstract

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.

Original languageEnglish
Pages (from-to)31-41
Number of pages11
JournalOsaka Journal of Mathematics
Volume52
Issue number1
Publication statusPublished - Jan 1 2015
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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