摘要翻译：
考虑一个与$N\乘以K$矩阵的列集的每个子集相关联的整数。列的并集的秩是每个子集预先描述的整数的那些矩阵的集合将用$X_C$表示。我们研究了由该集合的Zariski闭包$y_c$表示的等变上同调类。我们证明了这类系数是枚举几何问题的解，是射影空间线性Gromov-Witten不变量的自然推广。我们还展示了如何计算这些类并给出它们的基本属性。
---
英文标题：
《Equivariant classes of matrix matroid varieties》
---
作者：
L. M. Feher, A. Nemethi, R. Rimanyi
---
最新提交年份：
2008
---
分类信息：

一级分类：Mathematics        数学
二级分类：Algebraic Geometry        代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
--
一级分类：Mathematics        数学
二级分类：Combinatorics        组合学
分类描述：Discrete mathematics, graph theory, enumeration, combinatorial optimization, Ramsey theory, combinatorial game theory
离散数学，图论，计数，组合优化，拉姆齐理论，组合对策论
--

---
英文摘要：
  Consider an integer associated with every subset of the set of columns of an $n\times k$ matrix. The collection of those matrices for which the rank of a union of columns is the predescribed integer for every subset, will be denoted by $X_C$. We study the equivariant cohomology class represented by the Zariski closure $Y_C$ of this set. We show that the coefficients of this class are solutions to problems in enumerative geometry, which are natural generalization of the linear Gromov-Witten invariants of projective spaces. We also show how to calculate these classes and present their basic properties.
---
PDF链接：
https://arxiv.org/pdf/0812.4871