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arXiv · 1812.06538

Harer-Zagier generating functions, the Redfield-Polya cycle index and Cohen semilinear congruences

Gennadiy Ilyuta
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Abstract

Harer-Zagier generating functions for Euler characteristics of moduli spaces of curves contain $n$-necklace polynomials. Taylor expansions for these polynomials depend on numbers of solutions of Cohen semilinear congruences.

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Gennadiy Ilyuta. 2018-12-16. Harer-Zagier generating functions, the Redfield-Polya cycle index and Cohen semilinear congruences. https://arxiv.org/abs/1812.06538

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