The Sn-equivariant top weight Euler characteristic of Mg,n

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The Sn-equivariant top weight Euler characteristic of Mg,n
 
Faber, Carel; CHAN, MELODY; GALATIUS, SØREN; PAYNE, SAM
(2023) American Journal of Mathematics, volume 145, issue 5, pp. 1549 - 1585
(Article)
Abstract
We prove a formula, conjectured by Zagier, for the S n-equivariant Euler characteristic of the top weight cohomology of M g,n.
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Keywords: Taverne, General Mathematics
DOI: https://doi.org/10.1353/ajm.2023.a907705
ISSN: 0002-9327
Publisher: Johns Hopkins University Press
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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