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Power structures on the Grothendieck–Witt ring
and the motivic Euler characteristic
File(s)
240213-Pajwani.pdf (325.69 KB)
Accepted version
Author(s)
Pajwani, Jesse
Pál, Ambrus
Type
Journal Article
Abstract
For k a field, we construct a power structure on the Grothendieck–Witt ring of k which has the potential to be compatible with symmetric powers of varieties and the motivic Euler characteristic. We then show our power structure is compatible with the variety power structure when we restrict to varieties of dimension 0, using techniques of Garibaldi, Merkurjev and Serre about cohomological invariants.
Date Issued
2025-03-19
Date Acceptance
2025-02-20
Citation
Annals of K-Theory, 2025, 10 (2), pp.123-152
URI
URL
DOI
ISSN
2379-1683
Publisher
Mathematical Sciences Publishers
Start Page
123
End Page
152
Journal / Book Title
Annals of K-Theory
Volume
10
Issue
2
Copyright Statement
© 2025 The Authors, under license to MSP (Mathematical Sciences Publishers). This is the author’s accepted manuscript made available under a CC-BY licence in accordance with Imperial’s Research Publications Open Access policy (www.imperial.ac.uk/oa-policy)
License URL
Publication Status
Published
Date Publish Online
2025-03-19