G/B上的K轨道闭包作为具有对称或反称双线性型的标记向量丛的泛退化轨迹
K-orbit closures on G/B as universal degeneracy loci for flagged vector bundles with symmetric or skew-symmetric bilinear form
摘要：
我们使用等变的本地化和均差算子，以确定公式的环面等变的基本上同调类的$K$ -轨道闭包的标志品种$G/B$，其中$G = GL(n,\C)$，其中$K$是一个对称子群$O(n,\C)$或$Sp(n,\C)$。我们实现这些轨道闭包作为普遍退化轨迹的向量丛在各种配备了一个单一的标志的子丛和非退化对称或反称双线性型的价值观在平凡的捆绑。我们描述了如何我们的等变公式可以被解释为给出公式的类这样的轨迹的陈类的各种束。
英文摘要：
We use equivariant localization and divided difference operators to determine formulas for the torus-equivariant fundamental cohomology classes of $K$-orbit closures on the flag variety $G/B$, where $G = GL(n,\C)$, and where $K$ is one of the symmetric subgroups $O(n,\C)$ or $Sp(n,\C)$. We realize these orbit closures as universal degeneracy loci for a vector bundle over a variety equipped with a single flag of subbundles and a nondegenerate symmetric or skew-symmetric bilinear form taking values in the trivial bundle. We describe how our equivariant formulas can be interpreted as giving formulas for the classes of such loci in terms of the Chern classes of the various bundles.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
