Combinatorics of binomial decompositions of the simplest Hodge integrals

Mathematics – Algebraic Geometry

Scientific paper

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16 pages

Scientific paper

We reduce the calculation of the simplest Hodge integrals to some sums over
decorated trees. Since Hodge integrals are already calculated, this gives a
proof of a rather interesting combinatorial theorem and a new representation of
Bernoulli numbers.

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