THE Sn-EQUIVARIANT TOP WEIGHT EULER CHARACTERISTIC OF Mg,n

Melody Chan; Carel Faber; Søren Galatius; Sam Payne

doi:10.1353/ajm.2023.a907705

THE S_n-EQUIVARIANT TOP WEIGHT EULER CHARACTERISTIC OF M_g,n

Melody Chan, Carel Faber, Søren Galatius, Sam Payne

Institut for Matematiske Fag

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

4 Citationer (Scopus)

25 Downloads (Pure)

Abstract

We prove a formula, conjectured by Zagier, for the S_n-equivariant Euler characteristic of the top weight cohomology of M_g,n.

Originalsprog	Engelsk
Tidsskrift	American Journal of Mathematics
Vol/bind	145
Udgave nummer	5
Sider (fra-til)	1549-1585
Antal sider	37
ISSN	0002-9327
DOI	https://doi.org/10.1353/ajm.2023.a907705
Status	Udgivet - 2023

Bibliografisk note

Funding Information:
Research of the first author supported by NSF grant DMS-1701924, NSF CAREER DMS-1844768, the Henry Merritt Wriston Fellowship, and a Sloan Research Fellowship; research of the second author supported by NWO EW-613.001.651; research of the third author supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 682922) and by the Danish National Research Foundation (DNRF92 and DNRF151); research of the fourth author supported by NSF grants DMS-2001502 and DMS-2053261 and a Simons Fellowship. American Journal of Mathematics 145 (2023), 1549–1585. © 2023 by Johns Hopkins University Press.

Publisher Copyright:
© 2023 by Johns Hopkins University Press.

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10.1353/ajm.2023.a907705

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Citationsformater

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