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arXiv · 1205.1586

The structure of the tautological ring in genus one

Dan Petersen
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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.

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Dan Petersen. 2012-06-11. The structure of the tautological ring in genus one. https://doi.org/10.1215/00127094-2429916

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