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The structure of the tautological ring in genus one
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2014 (English)In: Duke mathematical journal, ISSN 0012-7094, E-ISSN 1547-7398, Vol. 163, no 4, 777-793 p.Article in journal (Refereed) Published
Abstract [en]

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.
Keyword [en]
Mixed Hodge Structure, Configuration-Spaces, Intersection Theory, Moduli Spaces, Cohomology, Curves
National Category
Geometry
Identifiers
URN: urn:nbn:se:kth:diva-122385DOI: 10.1215/00127094-2429916ISI: 000332751000004Scopus ID: 2-s2.0-84897805523OAI: oai:DiVA.org:kth-122385DiVA: diva2:622085
Note

QC 20140414. Updated from manuscript to article in journal.

Available from: 2013-05-20 Created: 2013-05-20 Last updated: 2017-12-06Bibliographically approved
In thesis
1. Topology of moduli spaces and operads
Open this publication in new window or tab >>Topology of moduli spaces and operads
2013 (English)Doctoral thesis, comprehensive summary (Other academic)
Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2013. vii, 45 p.
Series
Trita-MAT. MA, ISSN 1401-2278 ; 13:02
National Category
Geometry
Identifiers
urn:nbn:se:kth:diva-122389 (URN)978-91-7501-759-4 (ISBN)
Public defence
2013-05-31, Sal E2, Lindstedtsvägen 3, KTH, Stockholm, 14:00 (English)
Opponent
Supervisors
Note

QC 20130520

Available from: 2013-05-20 Created: 2013-05-20 Last updated: 2013-05-20Bibliographically approved

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CiteExportLink to record
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  • apa
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  • nn-NB
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  • Other locale
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Output format
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