arXiv 0704.23762007-04-18math.AG

Catalan交通与Grassmannian线上的积分

Catalan Traffic and Integrals on the Grassmannians of Lines

Taise Santiago Costa Oliveira

备注：: Excerpt from my Ph.D. Thesis; to appear on "Discrete Mathematics"
发表信息：: Discrete Mathematics, Volume 308, number 1, pp 148-152, 2008
DOI：: 10.1016/j.disc.2007.03.085

摘要：

我们证明了Niederhausen（Catlan Traffic at the Beach，The Electronic Journal of Combinatorics，9，（2002），1- 17）研究的路计数问题中出现的某些数是复射影（n+1）-空间中直线的Grassmannian的上同调环中的顶相交数.

英文摘要：

We prove that certain numbers occurring in a problem of paths enumeration, studied by Niederhausen (Catlan Traffic at the Beach, The Electronic Journal of Combinatorics, 9, (2002), 1--17), are top intersection numbers in the cohomology ring of the grassmannians of the lines in the complex projective (n+1)-space.

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