Topological recursion relations from Pixton's formula
Algebraic Geometry
2023-10-24 v2
Abstract
We prove that every degree-g polynomial in the -classes on can be expressed as a sum of tautological classes supported on the boundary with no -classes. Such equations, which we refer to as topological recursion relations, can be used to deduce universal equations for the Gromov-Witten invariants of any target.
Cite
@article{arxiv.1704.02011,
title = {Topological recursion relations from Pixton's formula},
author = {Emily Clader and Felix Janda and Xin Wang and Dmitry Zakharov},
journal= {arXiv preprint arXiv:1704.02011},
year = {2023}
}
Comments
v2: agrees with published version; 17 pages