The structure of the tautological ring in genus one

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.

15 pages

References in corpus (4)

• Three questions in Gromov-Witten theory
• Homological stability for configuration spaces of manifolds
• Givental group action on Topological Field Theories and homotopy Batalin--Vilkovisky algebras
• Rational cohomology of the moduli spaces of pointed genus 1 curves

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• Toward a minimal model for $H_{\ast }(\overline{\mathcal{M}})$
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