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Combinatorics of binomial decompositions of the simplest Hodge integrals

Algebraic Geometry 2017-08-22 v1 Combinatorics

Abstract

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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Cite

@article{arxiv.math/0310497,
  title  = {Combinatorics of binomial decompositions of the simplest Hodge integrals},
  author = {S. V. Shadrin},
  journal= {arXiv preprint arXiv:math/0310497},
  year   = {2017}
}

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16 pages