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

Carel Faber; MELODY CHAN; SØREN GALATIUS; SAM PAYNE

doi:10.1353/ajm.2023.a907705

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

Carel Faber, MELODY CHAN, SØREN GALATIUS, SAM PAYNE

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

We prove a formula, conjectured by Zagier, for the S _n-equivariant Euler characteristic of the top weight cohomology of M _g,n.

Original language	English
Pages (from-to)	1549-1585
Number of pages	37
Journal	American Journal of Mathematics
Volume	145
Issue number	5
DOIs	https://doi.org/10.1353/ajm.2023.a907705
Publication status	Published - Oct 2023

Bibliographical 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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title = "The Sn-equivariant top weight Euler characteristic of Mg,n",

abstract = "We prove a formula, conjectured by Zagier, for the S n-equivariant Euler characteristic of the top weight cohomology of M g,n.",

author = "Carel Faber and MELODY CHAN and S{\O}REN GALATIUS and SAM PAYNE",

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{\textquoteright}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. {\textcopyright} 2023 by Johns Hopkins University Press. Publisher Copyright: {\textcopyright} 2023 by Johns Hopkins University Press.",

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doi = "10.1353/ajm.2023.a907705",

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AU - CHAN, MELODY

AU - GALATIUS, SØREN

AU - PAYNE, SAM

N1 - 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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N2 - 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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The Sn-equivariant top weight Euler characteristic of Mg,n

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