Cohomology of the moduli stack of algebraic vector bundles

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  • Toni Annala
  • Ryomei Iwasa

Let Vectn be the moduli stack of vector bundles of rank n on derived schemes. We prove that, if E is a Zariski sheaf of ring spectra which is equipped with finite quasi-smooth transfers and satisfies projective bundle formula, then E(Vectn,S) is freely generated by Chern classes c1,…,cn over E(S) for any qcqs derived scheme S. Examples include all multiplicative localizing invariants.

OriginalsprogEngelsk
Artikelnummer108638
TidsskriftAdvances in Mathematics
Vol/bind409
Antal sider25
ISSN0001-8708
DOI
StatusUdgivet - 2022

Bibliografisk note

Funding Information:
The first author was support by the Vilho, Yrjö and Kalle Väisälä Foundation of the Finnish Academy of Science and Letters.The second author was supported by the European Union's Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No. 896517.

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© 2022 The Author(s)

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