抄録
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.
| 元の言語 | 英語 |
|---|---|
| ページ（範囲） | 31-41 |
| ページ数 | 11 |
| ジャーナル | Osaka Journal of Mathematics |
| 巻 | 52 |
| 発行部数 | 1 |
| 出版物ステータス | 出版済み - 1 1 2015 |
| 外部発表 | Yes |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
これを引用
Weyl group symmetry on the gkm graph of a gkm manifold with an extended lie group action. / Kaji, Shizuo.
：: Osaka Journal of Mathematics, 巻 52, 番号 1, 01.01.2015, p. 31-41.研究成果: ジャーナルへの寄稿 › 記事
}
TY - JOUR
T1 - Weyl group symmetry on the gkm graph of a gkm manifold with an extended lie group action
AU - Kaji, Shizuo
PY - 2015/1/1
Y1 - 2015/1/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84925445905&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84925445905&partnerID=8YFLogxK
M3 - Article
VL - 52
SP - 31
EP - 41
JO - Osaka Journal of Mathematics
JF - Osaka Journal of Mathematics
SN - 0030-6126
IS - 1
ER -