Catalan Traffic and Integrals on the Grassmannians of Lines

Mathematics – Algebraic Geometry

Scientific paper

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Excerpt from my Ph.D. Thesis; to appear on "Discrete Mathematics"

Scientific paper

10.1016/j.disc.2007.03.085

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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