Cohomology of the moduli stack of algebraic vector bundles

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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.

Original languageEnglish
Article number108638
JournalAdvances in Mathematics
Number of pages25
Publication statusPublished - 2022

Bibliographical note

Publisher Copyright:
© 2022 The Author(s)

    Research areas

  • Algebraic K-theory, Derived algebraic geometry, Motives, Projective bundle formula

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