The structure of the tautological ring in genus one
2014 (English)In: Duke mathematical journal, ISSN 0012-7094, Vol. 163, no 4, 777-793 p.Article in journal (Refereed) Published
We prove Getzler's claims about the cohomology of the moduli space of stable curves of genus one, that is, that the even cohomology ring is spanned by the strata classes and that all relations between these classes follow from the Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) relation and Getzler's relation. In particular, the even cohomology ring is isomorphic to the tautological ring.
Place, publisher, year, edition, pages
2014. Vol. 163, no 4, 777-793 p.
Mixed Hodge Structure, Configuration-Spaces, Intersection Theory, Moduli Spaces, Cohomology, Curves
IdentifiersURN: urn:nbn:se:kth:diva-122385DOI: 10.1215/00127094-2429916ISI: 000332751000004ScopusID: 2-s2.0-84897805523OAI: oai:DiVA.org:kth-122385DiVA: diva2:622085
QC 20140414. Updated from manuscript to article in journal.2013-05-202013-05-202014-04-14Bibliographically approved