Pfaffian sum formula for the symplectic Grassmannians

Pfaffian sum formula for the symplectic Grassmannians
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辛格拉斯曼函数的普法夫和公式

DOI：
10.1007/s00209-015-1423-x
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发表时间：
2015
期刊：
Math. Z.
影响因子：
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通讯作者：
Takeshi Ikeda and Tomoo Matsumura
Takeshi Ikeda and Tomoo Matsumura
中科院分区：
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文献类型：
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作者：
Yumiko Hironaka;Yasushi Komori;広中由美子;広中 由美子;広中 由美子;Yumiko Hironaka and Yasushi Komori;広中 由美子;Yumiko Hironaka;Yumiko Hironaka;Yumiko Hironaka;Yumiko Hironaka;広中 由美子;Yumiko Hironaka;広中 由美子;Yumiko Hironaka;広中 由美子;Yumiko Hironaka;Yumiko Hironaka;Yumiko Hironaka;広中 由美子;Yumiko Hironaka;広中 由美子;Yumiko Hironaka;Yumiko Hironaka;Yumiko Hironaka;広中 由美子;Yumiko Hironaka;Takeshi Ikeda and Tomoo Matsumura

文献摘要

相似文献

研究辛向量空间中非极大迷向子空间的格拉斯曼环面等变Schubert类。我们证明了一个公式，表示这些类的asumof多Schur-Pfiders，其条目是等变修改特殊舒伯特类。我们的结果证明了Wilson的上同调公式，推广了Buch-Kresch-Tamvakis用Young提升算子给出的Giambelli上同调公式.此外，我们表明，该公式推广到某一家庭的Schubert类的辛部分各向同性旗品种。
We study the torus equivariant Schubert classes of the Grassmannian of non-maximal isotropic subspaces in a symplectic vector space. We prove a formula that expresses each of those classes as asumof multi Schur-Pfaffians, whose entries are equivariantly modified special Schubert classes. Our result gives a proof to Wilson’s conjectural formula, which generalizes the Giambelli formula for the ordinary cohomology proved by Buch–Kresch–Tamvakis, given in terms of Young’s raising operators. Furthermore we show that the formula extends to a certain family of Schubert classes of the symplectic partial isotropic flag varieties.