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 Mosc. Math. J., 2017, Volume 17, Number 1, Pages 1–13 (Mi mmj622)

Double ramification cycles and the $n$-point function for the moduli space of curves

Alexandr Buryakab

a Department of Mathematics, ETH Zürich, Switzerland
b Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Russian Federation

Abstract: In this paper, using the formula for the integrals of the $\psi$-classes over the double ramification cycles found by S. Shadrin, L. Spitz, D. Zvonkine and the author, we derive a new explicit formula for the $n$-point function of the intersection numbers on the moduli space of curves.

Key words and phrases: moduli space of curves, intersection numbers.

 Funding Agency Grant Number Russian Science Foundation 16-11-10260 The author was supported by grant Russian Science Foundation N 16-11-10260, project “Geometry and mathematical physics of integrable systems”. We are grateful to R. Pandharipande and S. Shadrin for useful discussions and to the anonymous referee for a number of suggestions that helped us to improve the exposition of the paper.

DOI: https://doi.org/10.17323/1609-4514-2017-17-1-1-13

Full text: http://www.mathjournals.org/.../2017-017-001-001.html
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MSC: Primary 14H10; Secondary 14C17
Received: May 24, 2016; in revised form November 3, 2016
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Citation: Alexandr Buryak, “Double ramification cycles and the $n$-point function for the moduli space of curves”, Mosc. Math. J., 17:1 (2017), 1–13

Citation in format AMSBIB
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