K-classes for matroids and equivariant localization
K-classes for matroids and equivariant localization
复制标题
拟阵和等变定位的 K 类
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
David E. Speyer
中科院分区：
文献类型：
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作者：
Alex Fink;David E. Speyer
对于每个拟阵，我们在格拉斯曼的K-理论中关联一个类。我们使用等变局部化的方法来研究这一类。特别是，我们提供了一个几何解释的Tutte多项式。我们还扩展了第二作者的结果有关的行为，这些类下直和，串联和并联连接和两个和，这些结果以前只建立了可实现拟阵，他们的早期证明是更困难的。再见“一个chaque matronous associons une classe dans la K-thde la grassmannienne.努斯
To every matroid, we associate a class in the K-theory of the Grassmannian. We study this class using the method of equivariant localization. In particular, we provide a geometric interpretation of the Tutte polynomial. We also extend results of the second author concerning the behavior of such classes under direct sum, series and parallel connection and two-sum; these results were previously only established for realizable matroids, and their earlier proofs were more difficult. R´ esum´ e. ` A chaque matronous associons une classe dans la K-thde la grassmannienne. Nous ´