Power structures on the Grothendieck--Witt ring and the motivic Euler characteristic

Jesse Pajwani; Ambrus Pál

doi:10.2140/akt.2025.10.123

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arXiv · 2309.03366

Power structures on the Grothendieck--Witt ring and the motivic Euler characteristic

Jesse Pajwani·Ambrus Pál

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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 this power structure is compatible with the power structure when we restrict to varieties of dimension $0$.

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Jesse Pajwani, Ambrus Pál. 2025-02-21. Power structures on the Grothendieck--Witt ring and the motivic Euler characteristic. https://doi.org/10.2140/akt.2025.10.123

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