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• W3151043586 abstract "Abstract We show that the hermitian K-theory space of a commutative ring R can be identified, up to <m:math xmlns:m=http://www.w3.org/1998/Math/MathML><m:msup><m:mi>𝐀</m:mi><m:mn>1</m:mn></m:msup></m:math> {mathbf{A}^{1}} -homotopy, with the group completion of the groupoid of oriented finite Gorenstein R -algebras, i.e., finite locally free R -algebras with trivialized dualizing sheaf. We deduce that hermitian K-theory is universal among generalized motivic cohomology theories with transfers along oriented finite Gorenstein morphisms. As an application, we obtain a Hilbert scheme model for hermitian K-theory as a motivic space. We also give an application to computational complexity: we prove that 1-generic minimal border rank tensors degenerate to the big Coppersmith–Winograd tensor." @default.
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• W3151043586 date "2022-10-27" @default.
• W3151043586 modified "2023-10-18" @default.
• W3151043586 title "Hermitian K-theory via oriented Gorenstein algebras" @default.
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• W3151043586 doi "https://doi.org/10.1515/crelle-2022-0063" @default.
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