Witt and cohomological invariants of Witt classes

Nicolas Garrel

doi:10.2140/akt.2020.5.213

Abstract

We describe all Witt invariants and mod 2 cohomological invariants of the functor $I^{n}$ as combinations of fundamental invariants; this is related to the study of operations on mod 2 Milnor K-theory. We also study behaviour of these invariants with respect to products, restrictions, similitudes and ramification.

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Nicolas Garrel. "Witt and cohomological invariants of Witt classes." Ann. K-Theory 5 (2) 213 - 248, 2020. https://doi.org/10.2140/akt.2020.5.213

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Received: 24 May 2018; Revised: 22 November 2019; Accepted: 18 December 2019; Published: 2020

First available in Project Euclid: 11 August 2020

zbMATH: 07224513

MathSciNet: MR4113769

Digital Object Identifier: 10.2140/akt.2020.5.213

Subjects:

Primary: 11E81

Secondary: 12G05 , 19D45

Keywords: cohomological invariants , fundamental ideal , Pfister forms , Witt invariants , Witt ring

Abstract

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