English

The structure of the tautological ring in genus one

Algebraic Geometry 2014-05-08 v2

Abstract

We prove Getzler's claims about the tautological ring of stable curves of genus one, i.e. that the tautological ring coincides with the even cohomology ring, and that all relations between generators follow from the WDVV relation and Getzler's relation.

Keywords

Cite

@article{arxiv.1205.1586,
  title  = {The structure of the tautological ring in genus one},
  author = {Dan Petersen},
  journal= {arXiv preprint arXiv:1205.1586},
  year   = {2014}
}

Comments

15 pages