AN ADDITIVE BASIS FOR THE COHOMOLOGY RINGS OF REGULAR NILPOTENT HESSENBERG VARIETIES
AN ADDITIVE BASIS FOR THE COHOMOLOGY RINGS OF REGULAR NILPOTENT HESSENBERG VARIETIES
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DOI：
10.1007/s00031-022-09763-3
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发表时间：
2019-12
影响因子：
0.7
通讯作者：
Makoto Enokizono;T. Horiguchi;Takahiro Nagaoka;Akiyoshi Tsuchiya
中科院分区：
文献类型：
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作者：
Makoto Enokizono;T. Horiguchi;Takahiro Nagaoka;Akiyoshi Tsuchiya
本文构造了正则幂零Hessenberg簇的上同调环的一个可加基，它是通过推广较小正则幂零Hessenberg子簇的所有Poincaré图而得到的.特别地，所有较小的正则幂零Hessenberg子簇的庞加莱算子都是线性无关的。
In this paper we construct an additive basis for the cohomology ring of a regular nilpotent Hessenberg variety which is obtained by extending all Poincaré duals of smaller regular nilpotent Hessenberg subvarieties. In particular, all of the Poincaré duals of smaller regular nilpotent Hessenberg subvarieties are linearly independent.