Integrals of psi-classes over double ramification cycles

Fuente: arXiv
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Autori principali: Buryak, A., Shadrin, S., Spitz, L., Zvonkine, D.
Natura: Preprint
Pubblicazione: 2012
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author Buryak, A.
Shadrin, S.
Spitz, L.
Zvonkine, D.
author_facet Buryak, A.
Shadrin, S.
Spitz, L.
Zvonkine, D.
contents DR-cycles are certain cycles on the moduli space of curves. Intuitively, they parametrize curves that allow a map to \mathbb{P}^1 with some specified ramification profile over two points. They are known to be tautological classes, but in general there is no known expression in terms of standard tautological classes. In this paper, we compute the intersection numbers of those DR-cycles with any monomials in psi-classes when this intersection is zero-dimensional.
format Preprint
id arxiv_https___arxiv_org_abs_1211_5273
institution arXiv
publishDate 2012
record_format arxiv
spellingShingle Integrals of psi-classes over double ramification cycles
Buryak, A.
Shadrin, S.
Spitz, L.
Zvonkine, D.
Algebraic Geometry
14C17, 14H10
DR-cycles are certain cycles on the moduli space of curves. Intuitively, they parametrize curves that allow a map to \mathbb{P}^1 with some specified ramification profile over two points. They are known to be tautological classes, but in general there is no known expression in terms of standard tautological classes. In this paper, we compute the intersection numbers of those DR-cycles with any monomials in psi-classes when this intersection is zero-dimensional.
title Integrals of psi-classes over double ramification cycles
topic Algebraic Geometry
14C17, 14H10
url https://arxiv.org/abs/1211.5273