Topological recursion relations from Pixton relations

Authors
Lin, Yi Jie Zhou, Jian
Citation
Lin, Yi Jie et Zhou, Jian, Topological recursion relations from Pixton relations, Acta mathematica Sinica. English series (Print) , 33(4), 2017, pp. 470-494
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
33
Issue
4
Year of publication
2017
Pages
470 - 494
Database
ACNP
SICI code
Abstract
We propose an algorithm to derive tautological relations from Pixton relations. We carry out this algorithm explicitly to derive some results in genus 0, 1, 2, 3 and analyze the possibility to generalize to higher genera. As an application, some results about reconstruction of Gromov.Witten invariants can be derived.