Topological recursion relations from Pixton relations
type: Item
instance of: scholarly article
title: Topological recursion relations from Pixton relations
zbMATH Open document ID: 1372.14049
author: Yanyan Li
publication date: 2017-08-03T00:00:00Z
review text: The authors introduce an algorithm to obtain tautological relation from Pixton relations. More explicitly, authors describe an algorithm that uses Pixton relations to eliminate \(\kappa\)-classes. It is shown that if \(P(g,n,r)\) denotes the number of Pixton relations in \(R^{r}(\bar{\mathcal{M}_{g,n}})\) and \(N(g,n,r)\) is the number of classes of certain type of degree \(r\) with \(r\geq g\), then \(P(g,n,r)\geq N(g,n,r)\). Moreover, the authors discuss the applications to Gromov-Witten theory.
reviewed by: Vehbi Emrah Paksoy
Mathematics Subject Classification ID: 14N35
zbMATH DE Number: 6756280
zbMATH Keywords: Faber-Zagier relations
zbMATH Keywords: Pixton relations
zbMATH Keywords: topological recursions
zbMATH Keywords: Gromov-Witten invariants
MaRDI profile type: Publication
full work available at URL: s10114-016-6155-2
OpenAlex ID: W2555488593
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DOI: 10.1007/S10114-016-6155-2
published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 6756280